AS/NZS 3008.1.1:2009 (Incorporating Amendment No. 1) Australian/New Zealand Standard ™ Electrical installations—Selection of cables Part 1.1: Cables for alternating voltages up to and including 0.6/1 kV—Typical Australian installation conditions AS/NZS 3008.1.1:2009 Accessed by TAFE NSW - SYDNEY INSTITUTE - ULTIMO on 18 Jul 2012
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Australian/New Zealand Standard · AS/NZS 3008.1.1:2009 This Joint Australian/New Zealand Standard was prepared by Joint Technical Committee EL-001, Wiring Rules. It was approved
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Part 1.1: Cables for alternating voltages up to and including 0.6/1 kV—Typical Australian installation conditions
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AS/NZS 3008.1.1:2009
This Joint Australian/New Zealand Standard was prepared by Joint Technical Committee EL-001, Wiring Rules. It was approved on behalf of the Council of Standards Australia on 14 September 2009 and on behalf of the Council of Standards New Zealand on 2 October 2009. This Standard was published on 26 October 2009.
The following are represented on Committee EL-001:
Association of Consulting Engineers Australia
Australian Building Codes Board
Australian Industry Group
Communications, Electrical and Plumbing Union
Consumers’ Federation of Australia
Electrical and Communications Association (Qld)
Electrical Contractors Association of New Zealand
Electrical Regulatory Authorities Council
Electrical Safety Organisation (New Zealand)
ElectroComms & Energy Utilities Industries Skills Council
Energy Networks Australia
Institute of Electrical Inspectors
Ministry of Economic Development (New Zealand)
National Electrical and Communications Association
New Zealand Council of Elders
New Zealand Electrical Institute
Telstra Corporation Limited
Keeping Standards up-to-date
Standards are living documents which reflect progress in science, technology and systems. To maintain their currency, all Standards are periodically reviewed, and new editions are published. Between editions, amendments may be issued. Standards may also be withdrawn. It is important that readers assure themselves they are using a current Standard, which should include any amendments which may have been published since the Standard was purchased.
Detailed information about joint Australian/New Zealand Standards can be found by visiting the Standards Web Shop at www.saiglobal.com.au or Standards New Zealand web site at www.standards.co.nz and looking up the relevant Standard in the on-line catalogue.
For more frequent listings or notification of revisions, amendments and withdrawals, Standards Australia and Standards New Zealand offer a number of update options. For information about these services, users should contact their respective national Standards organization.
We also welcome suggestions for improvement in our Standards, and especially encourage readers to notify us immediately of any apparent inaccuracies or ambiguities. Please address your comments to the Chief Executive of either Standards Australia or Standards New Zealand at the address shown on the back cover.
This Standard was issued in draft form for comment as DR 06745.
This Standard was prepared by the Joint Standards Australia /Standards New Zealand Committee EL-001, Wiring Rules, to supersede AS/NZS 3008.1.1:1998, Electrical
installations—Selection of cables, Part 1.1 Cables for alternating voltages up to and
including 0.6/1 kV—Typical Australian installation conditions.
This Standard incorporates Amendment No. 1 (August 2011). The changes required by the
Amendment are indicated in the text by a marginal bar and amendment number against the
clause, note, table, figure or part thereof affected.
This Standard is applicable to Australian installation conditions where the nominal ambient air and soil temperatures are 40°C and 25°C, respectively. Part 1.2 is applicable to New Zealand installation conditions where the nominal air and soil temperatures are 30°C and 15°C respectively. Each Part is a complete Standard and requires no reference to the other.
Part 2 will deal with cables for use with alternating voltages over 1 kV.
The objective of the Standard is to specify current-carrying capacity, voltage drop and short-circuit temperature rise of cables, to provide a method of selection for those types of electric cables and methods of installation that are in common use at working voltages up to and including 0.6/1 kV at 50 Hz a.c.
This Standard differs from the 1998 edition as follows:
(a) The limitations of the installation of thermoplastic insulated cables have been further clarified.
(b) An explanation has been provided regarding the properties of cross-linked materials at higher temperatures.
(c) Information has been included on the effect of harmonic currents on balanced three-phase systems, the effect of parallel cables and the effect of electromagnetic interference.
(d) Ratings for cables with flexible conductors and cables exposed to the sun have been extended in the tables of current-carrying capacities.
(e) Thermoplastic insulated cables with temperature ratings of 90°C and 105°C have been included in the tables covering current-carrying capacities of cables with 90°C rated cross-linked insulation materials.
(f) For cables with conductor sizes up to 10 mm2 the values of current-carrying capacities for installation in underground wiring enclosures have also been used for the situation of installations ‘buried direct’.
(g) Current-carrying capacities for cables installed in wiring enclosures have been recalculated according to IEC 60287.
(h) The values for all current-carrying capacities have been expressed to the nearest ampere to align with current IEC practice.
(i) Additional values for a.c. resistance and three-phase voltage drop have been included for single-core aerial cables with bare or insulated conductors operating at a conductor temperature of 80°C.
(j) Table headings have been simplified and now listed in an Appendix for ease of reference.
In the preparation of this Standard, reference was made to IEC 60287 and acknowledgment is made of the assistance received from that source.
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Statements expressed in mandatory terms in notes to tables and figures are deemed to be requirements of this Standard.
The term ‘informative’ has been used in this Standard to define the application of the appendix to which it applies. An ‘informative’ appendix is only for information and guidance.
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CONTENTS
Page
SECTION 1 SCOPE AND APPLICATION 1.1 SCOPE ......................................................................................................................... 6 1.2 APPLICATION ........................................................................................................... 6 1.3 ALTERNATIVE SPECIFICATIONS .......................................................................... 7 1.4 REFERENCED AND RELATED DOCUMENTS ....................................................... 7 1.5 DEFINITIONS ............................................................................................................. 8
SECTION 2 CABLE SELECTION PROCEDURE 2.1 GENERAL ................................................................................................................. 10 2.2 SELECTION PROCESS ............................................................................................ 10 2.3 DETERMINATION OF MINIMUM CABLE SIZE BASED ON CURRENT-
CARRYING CAPACITY CONSIDERATIONS........................................................ 10 2.4 DETERMINATION OF MINIMUM CABLE SIZE BASED ON VOLTAGE DROP
CONSIDERATIONS ................................................................................................. 11 2.5 DETERMINATION OF MINIMUM CABLE SIZE BASED ON THE
SHORT-CIRCUIT TEMPERATURE CONSIDERATIONS ..................................... 12
SECTION 4 VOLTAGE DROP 4.1 GENERAL ................................................................................................................. 86 4.2 DETERMINATION OF VOLTAGE DROP FROM MILLIVOLTS PER AMPERE
METRE ...................................................................................................................... 86 4.3 DETERMINATION OF VOLTAGE DROP FROM CIRCUIT IMPEDANCE .......... 87 4.4 DETERMINATION OF VOLTAGE DROP FROM CABLE OPERATING
TEMPERATURE ...................................................................................................... 88 4.5 DETERMINATION OF VOLTAGE DROP FROM LOAD POWER FACTOR ........ 89 4.6 DETERMINATION OF VOLTAGE DROP IN UNBALANCED MULTIPHASE
SECTION 5 SHORT-CIRCUIT PERFORMANCE 5.1 GENERAL ............................................................................................................... 113 5.2 FACTORS GOVERNING THE APPLICATION OF THE TEMPERATURE
LIMITS .................................................................................................................... 113 5.3 CALCULATION OF PERMISSIBLE SHORT-CIRCUIT CURRENTS .................. 114 5.4 INFLUENCE OF METHOD OF INSTALLATION ................................................. 115 5.5 MAXIMUM PERMISSIBLE SHORT-CIRCUIT TEMPERATURES ..................... 115
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APPENDICES A EXAMPLES OF THE SELECTION OF CABLES TO SATISFY
CURRENT-CARRYING CAPACITY, VOLTAGE DROP AND SHORT-CIRCUIT PERFORMANCE REQUIREMENTS ....................................... 117
B LIST OF TABLES ................................................................................................... 126 C EXAMPLES OF THE APPLICATION OF REDUCTION FACTORS FOR
HARMONIC CURRENTS ...................................................................................... 130 D RECOMMENDED CIRCUIT CONFIGURATIONS FOR THE INSTALLATION
OF SINGLE-CORE CABLES IN PARALLEL ........................................................ 131
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STANDARDS AUSTRALIA/STANDARDS NEW ZEALAND
Australian/New Zealand Standard
Electrical installations—Selection of cables
Part 1.1: Cables for alternating voltages up to and including 0.6/1 kV—Typical Australian installation conditions
S E C T I O N 1 S C O P E A N D A P P L I C A T I O N
1.1 SCOPE
This Standard sets out a method for cable selection for those types of electrical cables and methods of installation that are in common use at working voltages up to and including 0.6/1 kV at 50 Hz a.c.
Three criteria are given for cable selection, as follows:
(a) Current-carrying capacity.
(b) Voltage drop.
(c) Short-circuit temperature rise.
This Standard provides sustained current-carrying capacities and voltage drop values for those types of electrical cable and installation practices in common use in Australia. A significant amount of explanatory material is also provided on the application of rating factors that arise from the particular installation conditions of a single circuit or groups of circuits. Also, provided in Section 5 is information on cable selection based on short-circuit temperature limits.
NOTE: A number of worked examples on cable selection are included in Appendix A.
This Standard does not take into account the effects that may occur owing to temperature rise at the terminals of equipment and reference is necessary to AS/NZS 3000 and the individual equipment Standards.
NOTE: For ease of reference, an index of the Tables included in this Standard is provided in
Appendix B.
1.2 APPLICATION
This Standard is intended to apply to installations made or carried out after the date of publication, but it is recommended that it not be applied on a mandatory basis until 6 months after the date of publication. However, if work on an installation commenced before publication of this edition, the inspecting authority may grant permission for the installation to be carried out in accordance with the superseded edition.
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1.3 ALTERNATIVE SPECIFICATIONS
AS/NZS 3000 gives current-carrying capacities for a limited number of cable installation conditions. These conditions are included in this Standard but, in some cases, where recalculations have been performed, the tabulated values differ slightly between the Standards. Where this occurs the current-carrying capacity given in this Standard is considered to be more accurate, but either value is acceptable for the application of any appropriate requirements of AS/NZS 3000, e.g. maximum current rating of a circuit-protective device.
Where the type of cable or method of installation is not specifically covered in the tables of this Standard, current-carrying capacities obtained from alternative specifications such as ERA Report 69.30 may be employed.
ERA Report 69.30, particularly Part III, gives information on the following areas that are not covered by this Standard:
(a) The d.c. current-carrying capacities of two single-core cables and one two-core cable.
(b) The current-carrying capacity of armoured single-core cables.
(c) Group rating factors for underground cables laid in tier formation.
Current-carrying capacities may also be determined by calculation using IEC 60287 or applying correction factors to the published data from IEC 60364-5-52 for local conditions.
The subject of assigning a current-carrying capacity to a cyclically or intermittently loaded cable is not covered in this Standard as it normally relates to HV cable installation. However, reference may be made to ERA Report F/T 186 for information on the determination of such cable ratings by calculation.
1.4 REFERENCED AND RELATED DOCUMENTS
1.4.1 Referenced documents
The following documents are referred to in this Standard:
STANDARDS
AS/NZS 1125 Conductors in insulated electric cables and flexible cords
3000 Electrical installations (known as the Australian/New Zealand Wiring Rules)
3008 Electrical installations—Selection of cables 3008.1.2 Part 1.2: Cables for alternating voltages up to and including 0.6/1 kV—
Typical New Zealand installation conditions
IEC 60287 Electric cables—Calculation of the current rating (all Parts)
60364 Electrical installations of buildings 60364-4-43 Part 4-43: Protection for safety – Protection against overcurrent 60364-5-52 Part 5-52: Selection and erection of electrical equipment – Wiring systems
ERA REPORTS 69.30 Current rating standards for distribution cables
Part III: Sustained current ratings for PVC insulated cables to BS 6346:1969 (AC 50 Hz and DC)
69.30 Current rating standards for distribution cables
Part V: Sustained current ratings for cables with thermo-setting insulation to BS 5467:1989 and BS 6724:1986 (AC 50 Hz and DC)
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F/T 186 Methods for the calculation of cyclic rating factors and emergency loading for
cables laid direct in the ground or in ducts
1.4.2 Related documents
Attention is drawn to the following related documents.
AS 1531 Conductors—Bare overhead—Aluminium and aluminium alloy
1746 Conductors—Bare overhead—Hard-drawn copper
3158 Electric cables—Glass fibre insulated—For working voltages up to and including 0.6/1 (1.2) kV
AS/NZS 3191 Electric flexible cords
3560 Electric cables—Cross-linked polyethylene insulated—Aerial bundled—For up to and including 0.6/1 (1.2) kV
3560.1 Part 1: Aluminium conductors 3560.2 Past 2: Copper conductors
4026 Electric cables—For underground residential distribution systems
4961 Electric cables—Polymeric insulated—For distribution and service applications
5000 Electric cables—Polymeric insulated 5000.1 Part 1: For working voltages up to and including 0.6/1 (1.2) kV 5000.2 Part 2: For working voltages up to and including 450/750 V 5000.3 Part 3: Multicore control cables
60702 Mineral insulated cables and their terminations with a rated voltage notexceeding 750 V
60702.1 Part 1: Cables
IEC 60724 Short-circuit temperature limits of electric cables with rated voltages of 1.0 kV
(Um = 1,2 kV) and 3 kV (Um = 3,6 kV)
1.5 DEFINITIONS
For the purpose of this Standard, the definitions in AS/NZS 3000 and those below apply.
1.5.1 Ambient temperature
The temperature of the medium in the immediate neighbourhood of the installed cable—
(a) including any increase in temperature due to materials or equipment to which the cables are connected, or are to be connected; but
(b) excluding any increase in temperature that may be due to the heat arising from the cables at that point.
1.5.2 Continuous loading
A continuous constant current (100% load factor) just sufficient to produce asymptotically the maximum conductor temperature, the surrounding ambient conditions being assumed constant.
1.5.3 Installation wiring
A system of wiring in which the cables are fixed or supported in position in accordance with the appropriate requirements of this Standard. Replaces the term ‘fixed wiring’. A
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1.5.4 Ladder support
A support in which the impedance to the air flow around the cable is not greater than 10%, i.e. supporting metalwork under the cable occupies less than 10% of the plan area.
1.5.5 Perforated tray
A tray having not less than 30% of its surface area removed by the perforation.
1.5.6 Route length
The distance measured along a run of wiring from the origin of the circuit to the point of consideration, e.g. the distance measured between a switchboard and a motor.
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S E C T I O N 2 C A B L E S E L E C T I O N P R O C E D U R E
2.1 GENERAL
The cable selection procedures set out in this Section detail the guidelines to be followed to determine the minimum size of cable required to satisfy a particular installation condition.
2.2 SELECTION PROCESS
The following three main factors influence the selection of a particular cable to satisfy the circuit requirements:
(a) Current-carrying capacity Dependent upon the method of installation and the presence of external influences, such as thermal insulation, which restrict the operating temperature of the cable.
(b) Voltage drop Dependent upon the impedance of the cable, the magnitude of the load current and the load power factor.
(c) Short-circuit temperature limit Dependent upon energy produced during the short-circuit condition.
The minimum cable size will be the smallest cable that satisfies the three requirements. However, with experience it will become apparent that the different nature of installations will determine which of the requirements predominate. The current-carrying capacity requirement will be the most demanding in the relatively shorter route lengths of domestic premises and the like where factors such as cable grouping, and thermal insulation occur. On the other hand the voltage drop limitation is usually the deciding factor for longer route lengths that are not subject to the factors mentioned above. The need to increase cable size to meet the short-circuit temperature rise requirements will only occur in special situations for the voltage ratings of the cables covered by this Standard.
2.3 DETERMINATION OF MINIMUM CABLE SIZE BASED ON CURRENT-
CARRYING CAPACITY CONSIDERATIONS
To satisfy the current-carrying capacity requirements of a circuit it is necessary to take into account a number of factors, as follows:
NOTE: Refer to Appendix A for examples, in particular Example 3, which shows the method used
in this Clause.
(a) Determine the current requirements of the circuit. NOTE: Refer to the Clause in AS/NZS 3000 covering protection against overload current.
IB ≤ IZ
IB = the current for which the circuit is designed, e.g. maximum demand
IZ = the continuous current-carrying capacity of the cable determined by Clause 2.3(d).
(b) From Tables 3(1), 3(2), 3(3) and 3(4) determine the cable installation method to be used applicable to the common cross-linked elastomeric or thermoplastic-insulated cables. NOTE: Determine the current-carrying Table and appropriate column of the Table for use in
Clause 2.3(d).
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(i) For a single circuit, determine if the method of installation requires the application of a derating factor selected from Tables 22, 23 or 24. Where applicable, divide the value of current determined in Step (a) by the derating factor so determined.
(ii) For a group of circuits, determine if the method of installation requires the application of a derating factor selected from Tables 22 to 26. Where applicable, divide the value of current IB by the derating factor so determined.
(c) Determine the environmental conditions in the vicinity of the cable installation. Where applicable, divide the value of current determined in Step (b) by—
(i) the ambient air or soil temperature rating factor selected from Tables 27(1) and 27(2);
(ii) the depth of laying rating factor selected from Tables 28(1) and 28(2); and
(iii) the soil thermal resistivity rating factor selected from Table 29.
(d) The resulting value of current, determined from the calculations in Clauses 2.3(b) and 2.3(c), is used to select a cable from the current-carrying capacity Tables. This ensures that the cable will carry the design current IB as per Clause 2.3(a) after derating.
Refer to the Tables of current-carrying capacity for the different cable types, Tables 4 to 21. Taking into account the method of installation employed, the smallest conductor size that has a tabulated current-carrying capacity equal to or in excess of this pre-determined minimum value will be considered to be the minimum cable size satisfying the current-carrying capacity requirement.
IZ is the tabulated rating multiplied by the derating factors.
2.4 DETERMINATION OF MINIMUM CABLE SIZE BASED ON VOLTAGE DROP
CONSIDERATIONS
To satisfy the voltage drop limitations of a circuit, it is necessary to take into account the current required by the load and the route length of the circuit, as follows:
(a) Determine the current (I) requirements of the circuit.
(b) Determine the route length (L) of the circuit.
(c) Determine the maximum voltage drop (Vd) permitted on the circuit run. NOTE: Unless otherwise permitted by AS/NZS 3000, the maximum voltage drop between the
point of supply for the low voltage electrical installation and any point in that electrical
installation should not exceed 5% of the nominal voltage at the point of supply.
(d) Determine the voltage drop (Vc) in millivolts per ampere metre (mV/A.m) using Equation 4.2(1) and the values of I, L and Vd determined in Steps (a), (b) and (c).
(e) Refer to the tables of voltage drop (mV/A.m) for the different cable types, Tables 40 to 51. Taking into account the method of installation, maximum conductor operating temperature and load power factor, the smallest conductor size that has a tabulated voltage drop (mV/A.m) value nearest to, but not exceeding, the value determined in Step (d) will be considered to be the minimum cable size satisfying the voltage drop limitation.
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This simplified method gives an approximate but conservative solution assuming maximum cable operating temperatures and the most onerous relationship between load and cable power factors. A more accurate assessment can be made of the actual voltage drop (Vd) using the appropriate equation of Clause 4.5, the cable reactance determined from Tables 30 to 33, the cable a.c. resistance determined from Tables 34 to 39 using the approximate conductor operating temperature assessed from Equation 4.4(1), and the load power factor.
NOTES:
1 If the value of voltage drop assessed using the appropriate equation of Clause 4.5 is
significantly lower than the equivalent value determined using the simplified method
suggested in Steps (a) to (e), consideration should be given to the calculation of voltage drop
for the next smaller cable size.
2 Because of the need to make an initial set of assumptions relating to cable size, the
calculation method of Clause 4.5 will normally only be of use to check the accuracy of the
simplified method or to check the voltage drop on an existing or known cable installation.
2.5 DETERMINATION OF MINIMUM CABLE SIZE BASED ON THE
SHORT-CIRCUIT TEMPERATURE CONSIDERATIONS
To satisfy the short-circuit temperature limit it is necessary to take into account the energy producing the temperature rise (I2
t) and the initial and final temperatures, as follows:
(a) Determine the maximum duration and value of the prospective short-circuit current.
(b) Determine the initial and final conductor temperatures and select an appropriate value of the constant (K) from Table 52.
(c) Calculate the minimum cross-sectional area of the cable using Equation 5.3(1). This cable size represents the minimum size required to satisfy the short-circuit temperature rise requirements.
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S E C T I O N 3 C U R R E N T - C A R R Y I N G C A P A C I T Y
3.1 RATINGS
3.1.1 General
The provisions of this Section apply to the selection of conductor sizes with regard to current-carrying capacity.
Clauses 3.2 to 3.5 stipulate conductor and cable requirements and installation conditions in order that the subsequent tables of current-carrying capacity may be applied.
Tables 3(1) to 3(4) give guidance on the appropriate table of current-carrying capacity for different installation methods for the common types of cable insulation covered by Tables 4 to 15. A specific installation condition is defined and illustrated and alternative installation conditions deemed to have the same current-carrying capacity are also given. Attention is drawn to tables of rated current-carrying capacity where the standard installation conditions of Clause 3.4 are varied.
Tables 4 to 21 give the current-carrying capacities for the variety of different cable types described in Clause 3.3.
3.1.2 Basis
The values for current ratings given in Tables 4 to 15 have been calculated using the method described in IEC 60287 except for cables partially or completely surrounded by thermal insulation and flat cables that have been assigned the same ratings as circular cables.
NOTE: Unless otherwise stated, PVC wiring enclosures have been used for installation in air and
underground.
Furthermore it should be noted that the current ratings for 110°C rated cables enclosed in conduit
in air assume the use of metallic conduit. The use of non-metallic conduits are not recommended.
3.2 TYPES OF CONDUCTORS
3.2.1 Conductor material
The current-carrying capacities are based on conductors of high-conductivity copper and aluminium in sizes, strandings and resistances complying with AS/NZS 1125.
3.2.2 Insulation material operating temperatures
The sustained current-carrying capacities are based on the ‘normal use’ temperatures specified in Column 2 of Table 1. Where the ‘maximum permissible’ temperature in Column 3 of Table 1 is greater than the ‘normal use’ temperature, the ‘maximum permissible’ temperature may only be used under the conditions described in Note 3 to Table 1 for thermoplastic cables and in Note 7 to Table 1 for MIMS cables.
NOTE: Where cables are consistently operating substantially below the limiting temperature of
Table 1, the heat losses (I2R) and voltage drop (IZ) will also be reduced. These features could be
relevant in determining the optimum economic design of a circuit.
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TABLE 1
LIMITING TEMPERATURES FOR INSULATED CABLES
1 2 3 4
Type of cable insulation Operating temperatures of conductors, °C
(see Note 1)
Normal use Maximum
permissible
(see Note 2)
Minimum
ambient
Thermoplastic (see Note 3)
V-75
HFI-75-TP, TPE-75
V-90
HFI-90-TP, TP-90
V-90HT
75
75
75
75
75
75
75
90
90
105
0
-20
0
-20
0
Cross-linked elastomeric (see Note 4)
R-EP-90
R-CPE-90, R-HF-90, R-CSP-90
R-HF-110, R-E-110 (see Note 5)
R-S-150 (see Note 6)
90
90
110
150
90
90
110
150
-40
-20
*
-50
Cross-linked polyolefin (XLPE) (see Note 4)
X-90, X-90UV, X-HF-90
X-HF-110 (see Note 5)
90
110
90
110
*
*
Mineral-insulated metal-sheathed (MIMS)
(see Note 7)
100 (sheath)
250 (sheath)
–
Other types
PE, LLDPE
Type 150 fibrous or polymeric (see Note 6)
70
150
70
150
*
–
* Refer to manufacturer’s information
NOTES:
1 The temperature limits specified in Table 1 relate to the sustained current-carrying capacity and do not
represent the maximum permissible temperatures permitted under short-circuit conditions. A guide to the
acceptable short-circuit temperature limits is given in Section 5.
2 The maximum permissible temperatures given in Column 3 are applicable when there is no chance of
thermal deformation or a reasonable chance of human contact in normal use.
For safety reasons, where flexible cords may be exposed and are likely to be touched, the maximum
permissible temperature should be limited (see Note 3 to Table 16).
3 The normal operating temperature of thermoplastic cables, including flexible cords installed as installation
wiring, are based on a conductor temperature of 75°C. This is due to the risk of thermal deformation of
insulation if the cables are clipped, fixed or otherwise installed in a manner that exposes the cable to
severe mechanical pressure at higher temperatures.
V-90 and V-90HT insulated cables may be operated up to the maximum permissible temperatures 90°C
and 105°C provided that the cable is installed in a manner that is not subject to, or is protected against,
severe mechanical pressure at temperatures higher than 75°C. Such applications also allow for cables to be
used in—
(a) locations where the ambient temperatures exceeds the normal 40°C, e.g. equipment wiring in
luminaires and heating appliances, or in roof spaces affected by high summer temperatures; and
(b) locations affected by bulk thermal insulation that restricts the dissipation of heat from the cable.
4 Cross-linked elastometric and cross-linked polyolefin materials have the property of maintaining their
shape at higher temperatures and do not flow under mechanical pressure.
5 Cables with an operating temperature of 110°C should only be connected to equipment suitable for this
temperature. Consideration should also be given to the voltage drop at this operating temperature.
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6 The current-carrying capacities given in Table 17 for cables insulated with high temperature cross-linked
elastomeric, polymeric or fibrous materials are based on cables operating at temperatures of 150°C in an
ambient temperature of 40°C and where the hot cable surfaces are acceptable. However, the cables are
generally installed in areas of high ambient temperature, such as equipment wiring, and it will be
necessary to apply an appropriate temperature correction factor from Table 27.
The current-carrying capacities for fibrous and polymeric (fluoropolymer) type cables and cords suitable
for operation at 200°C are not given in this Standard. As an alternative to the use of the relatively
conservative values given in Table 27, advice may be sought from cable manufacturers.
7 The current-carrying capacities for MIMS cables are based on an operating temperature of 100°C for the
external surface of either bare metal-sheathed cables or served cables. Higher continuous operating
temperatures are permissible for bare metal-sheathed cables, particularly stainless steel sheathed cables,
dependent upon factors such as the following:
(a) The suitability of the cable terminations and mountings.
(b) The location of the cable away from combustible materials.
(c) The location of the cable away from areas where there is a reasonable chance of persons touching
the exposed surface.
(d) Other environmental and external influences.
3.3 TYPES OF CABLE
3.3.1 Sheathed or unsheathed thermoplastic, cross-linked elastomeric and XLPE
insulated cables
3.3.1.1 General
The current-carrying capacity of sheathed or unsheathed thermoplastic, cross-linked elastomeric or XLPE insulated cables shall be determined from Tables 4 to 15.
3.3.1.2 Method of installation
The current-carrying capacity of a given cable depends on the method of installation. Tables 3(1) to 3(4) provide a schedule of the installation methods applicable to sheathed or unsheathed cross-linked elastomeric or thermoplastic insulated cables whose current-carrying capacities are given in Tables 4 to 15. Tables 3(1) to 3(4) also draw attention to the different methods of installation that may be assigned the same current-carrying capacity and refers to tables of derating factors applicable where one circuit is run in close proximity to another circuit or circuits.
3.3.2 Flexible cords and cables
3.3.2.1 Used for installation wiring
The determination of current-carrying capacity of flexible cords and cables used for installation wiring shall be as given in Tables 4 to 15 and 17.
3.3.2.2 Other than installation wiring
The determination of current-carrying capacity of flexible cords and cables used for other than installation wiring shall be as follows:
(a) General Except as provided in Item (b), the current-carrying capacity of flexible cords and cables not used as installation wiring shall be determined from Tables 16 and 17. The current-carrying capacity of flexible cables shall be determined from Tables 4 to 15.
(b) Connection of equipment Where a flexible cord is—
(i) used for the connection of equipment to the installation wiring by means of a plug and socket; and
(ii) the equipment comes within the scope of associated Standards;
the current-carrying capacity shall be determined from the appropriate Standard.
The current-carrying capacity of bare or served copper MIMS cables shall be determined from Tables 18 and 19.
NOTE: Current–carrying capacities are not given in this Standard for polyethylene served or
other forms of MIMS cable used for heating purposes, such as trace heating, tank heating or floor
warming.
3.3.4 Aerial cables
The current-carrying capacity of aerial cables shall be determined from Tables 20 and 21. See Clause 3.3.5 for the determination of the current-carrying capacity of neutral-screened aerial cables.
3.3.5 Neutral-screened cables
The current-carrying capacity of neutral-screened cables shall be determined from the number of cable cores and method of installation as follows:
(a) For single-core neutral-screened cables (i.e. 2-conductors).
Tables 10, 11 and 12.
(b) For 2-core, 3-core or 4-core neutral-screened cables (i.e. 3-conductor, 4-conductor and 5-conductor).
Tables 13, 14 and 15.
However, the current-carrying capacity of neutral-screened aerial cables shall be determined as follows:
(i) For 2-core (i.e. 3-conductor) neutral-screened cable.
Columns 8 to 10 and 15 to 17 of Table 20 or Table 21, as appropriate.
(ii) For 2-core, 3-core or 4-core (i.e. 3-, 4- or 5-conductor) neutral screened cable.
Columns 12 to 14 and 18 to 20 of Table 20 or Table 21, as appropriate.
3.3.6 High temperature cross-linked elastomeric, polymeric or fibrous insulated
cables and flexible cords
The current-carrying capacity of R-S-150 cross-linked elastomeric insulated cables, Type 150 heat-resisting fibrous insulated cables and 150°C rated fluoropolymer insulated flexible cords shall be determined from Table 17.
3.3.7 Other cable types
This Standard provides current-carrying capacities for types of cables that are considered to be in common use. For cables not included in this Standard, cable manufacturers should be consulted for recommendations on the current-carrying capacity and acceptable methods of installation.
3.4 INSTALLATION CONDITIONS
3.4.1 General
The current-carrying capacity of a cable is dependent on the method of installation to maintain the temperature of the cable within its operating limits. Different methods of installation vary the rate at which the heat generated by the current flow is dissipated to the surrounding medium.
Specific conditions of installation are laid down in Clauses 3.4.2 to 3.4.5 for cables installed with or without wiring enclosures in air, in the ground or embedded in building materials. These conditions have been used to derive the current-carrying capacities tabulated in Section 3. Where a number of installation conditions exist along a cable run or variations to the specific conditions occur, reference shall be made to Clauses 3.4.6 and 3.5 respectively.
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3.4.2 Cables installed in air
For cables installed in free air, the current-carrying capacities shall be based on the following conditions of installation and operation:
(a) Ambient temperature An ambient air temperature of 40°C.
(b) Unenclosed cables Cables installed as follows:
(i) Directly in air and, except for flexible cables as mentioned in Note 2 to Table 1 and aerial cables, not exposed to direct sunlight and where they are—
(A) lying on a horizontal surface;
(B) lying across ceiling joists;
(C) supported on perforated or unperforated cable trays, ladders, hangers or racks;
(D) clipped at intervals to a vertical or horizontal surface, such as a wall or beneath a ceiling;
(E) suspended from a catenary wire;
(F) lying in the bottom of open trunking; or
(G) in an enclosure such as a switchboard.
(ii) Directly embedded beneath the surface of plaster, cement render or masonry. NOTE: Table 3(1) contains a reference to the appropriate current-carrying capacity table for
cables installed unenclosed in air.
(c) Enclosed cables Cables installed as follows:
(i) In metallic or non-metallic wiring enclosure in—
(A) free air;
(B) a ventilated or enclosed trench;
(C) a concrete slab on or above the surface of the ground; or
(D) a concrete, plaster, cement rendered or masonry wall.
(ii) In closed trunking.
(iii) In an enclosed trench with removable covers.
(iv) Directly buried in concrete. NOTES:
1 Table 3(2) contains a reference to the appropriate current-carrying capacity table for
enclosed cables installed in air.
2 Where an otherwise unenclosed cable run includes short lengths of wiring enclosure that
do not restrict the free circulation of air, the current-carrying capacity for unenclosed
conditions may be assigned to the cable run provided that the following are complied
with:
(a) The total above-ground sections do not exceed half the length of the cable run or 6 m, whichever is the shorter dimension.
(b) The wiring enclosure is not surrounded by thermal insulation.
(c) The wiring enclosure is of adequate size to permit free air circulation to dissipate any heat arising from the enclosed cables. This would be satisfied if the wiring enclosure—
(i) has a bore area not less than twice the total cross-sectional area of the enclosed
live cables;
(ii) is arranged in a substantially vertical direction; and
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(iii) has an open upper end or other means that will not restrict the escape of hot air
to the surroundings. 3 Selection of wiring enclosure material needs to take into account the highest sheath
temperature of the cable.
3.4.3 Cables installed in thermal insulation
For cables installed in thermal insulation the current-carrying capacities shall be based on the following conditions of installation and operation:
(a) Ambient temperature An ambient temperature of the air surrounding the thermal insulation of 40°C.
(b) Unenclosed cables Cables installed without further enclosure—
(i) lying on a horizontal surface;
(ii) lying across ceiling joists;
(iii) supported on perforated or unperforated cable trays, ladders, hangers or racks;
(iv) clipped at intervals to a vertical or horizontal surface such as a wall or ceiling joist; or
(v) lying in the bottom of open trunking.
(c) Enclosed cables Cables installed in—
(i) metallic or non-metallic wiring enclosure; or
(ii) closed trunking or ducts.
(d) Bulk thermal insulation Bulk thermal insulation installed as follows:
(i) Materials Building materials installed to provide a thermal insulation including—
(A) fibreglass or rockwool batts;
(B) cellulose fibre, paper, cork, seagrass or similar organic materials that are normally installed in a loose-fill form; or
(C) expanded synthetic foams such as polystyrene, ureaformaldehyde or polyurethane, which may be installed by pumping or injection as a wet foam.
NOTE: Reflective foil laminates are not considered to be bulk thermal insulation.
(ii) Completely surrounded installation An installation method where bulk thermal insulation surrounds, and is in contact with, unenclosed or enclosed cables.
(iii) Partially surrounded installation An installation method where bulk thermal insulation is prevented from completely surrounding unenclosed or enclosed cable, such as where an unenclosed or enclosed cable is clipped to a structural member or is lying on a ceiling.
NOTE: Table 3(2) contains a reference to the appropriate current-carrying capacity table for
cables installed in thermal insulation.
3.4.4 Cables buried direct in the ground
For cables buried direct in the ground, the current-carrying capacities shall be based on the following conditions of installation and operation:
(a) Ambient temperature An ambient soil temperature of 25°C.
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(b) Depth of laying A depth of laying of 0.5 m measured from the ground surface to the centre of a cable, or to the centre of a trefoil group of cables.
(c) Thermal resistivity of soil A soil thermal resistivity of 1.2°C.m/W.
(d) Spacing of cables Cables are spaced as follows:
(i) Single-core cables Either—
(A) three single-core cables laid touching throughout in trefoil formation; or
(B) two or three single-core cables laid touching in flat formation.
(ii) Multicore cables Multicore cables laid singly. NOTE: Table 3(3) contains a reference to the appropriate current-carrying capacity table for
cables buried direct in the ground. See Clause 3.5.2.5 for spacing distances.
3.4.5 Cables installed in underground wiring enclosures
For cables installed in underground wiring enclosures, the current-carrying capacities shall be based on the following conditions of installation and operation:
(a) Ambient temperature An ambient soil temperature of 25°C.
(b) Depth of laying A depth of laying of 0.5 m measured from the ground surface to the centre of a wiring enclosure, or to the centre of a trefoil group of wiring enclosures.
(c) Thermal resistivity of soil A soil thermal resistivity of 1.2°C.m/W.
(d) Spacing of wiring enclosures Wiring enclosures shall be spaced as follows:
(i) Single-core cables in separate wiring enclosures with—
(A) two ducts side by side touching; or
(B) three ducts in trefoil, or in flat formation touching.
(ii) Single-core cables as a circuit in a single wiring enclosure.
(iii) Multicore cable in a single wiring enclosure. NOTE: Table 3(4) contains a reference to the appropriate current-carrying capacity table for
cables installed in underground wiring enclosures. See Clause 3.5.2.6 for spacing distances.
3.4.6 Variation of installation conditions along cable run
In situations where one method of installation is used for part of a cable run and other methods for the remainder, the current-carrying capacity of the cable run shall be limited to the lowest value of current determined for each method of installation employed, unless precautions to avoid cable overheating are taken.
NOTES:
1 An example of appropriate precautions is where long runs of cable buried direct in the ground
are enclosed in wiring enclosures when passing beneath roadways and the like. The use of
selected backfill materials over the enclosed cables can improve the conduction of heat away
from the cables and as a consequence higher current-carrying capacities, in the order of that
for buried direct cables, can be sustained by the short lengths of enclosed cables.
2 Note 2 to Clause 3.4.2 (c) describes a situation where a short length of suitably arranged
enclosure may be disregarded for the assignment of a current-carrying capacity to an
otherwise unenclosed cable run in air.
3 Attention is drawn to the connection of equipment to an underground cable run by means of
short lengths of enclosed or unenclosed cables in air. The current-carrying capacity assigned
to the underground portion of the cable run may be assigned to the above-ground portion
where the prevailing installation conditions maintain the final operating temperature of the
cable within the limits given in Table 1.
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3.5 EXTERNAL INFLUENCES ON CABLES
3.5.1 Application of rating factors
The current-carrying capacity of a cable will be affected by the presence of certain external influences as detailed in Clauses 3.5.2 to 3.5.8. Under such conditions the current-carrying capacity given in Tables 4 to 21 shall be corrected by the application of an appropriate rating factor or factors obtained from Tables 22 to 29.
3.5.2 Effect of grouping of cables
3.5.2.1 General
The current-carrying capacities given in Tables 4 to 21 relate to single circuits.
Where a number of circuits are installed in the same group in free air, on a surface, buried direct in the ground or within the same sheath or wiring enclosure, in such a way that they are not independently cooled by the ambient air or the ground, the appropriate derating factor shall be as given in Tables 26 to 30.
Specific guidance on the use of Tables 22 to 26 is given in Clauses 3.5.2.3 to 3.5.2.7 and Table 3.
NOTES:
1 The derating factors have been calculated on the basis of sustained operation of all cables
within the group. In most instances the loading on all cables in the group will not occur
simultaneously and as a result actual factors may vary from those in Tables 22 to 26. Actual
values would need to be calculated according to loading.
2 Where cables of different temperature rating are grouped, they should be rated at the rating
appropriate to the lowest temperature cable, unless adequate spacing is provided in
accordance with Figure 1.
3.5.2.2 Installation conditions that avoid derating
The derating factors of Tables 22 to 26 are not applicable to the following conditions of grouped cables:
(a) MIMS cables MIMS cables without serving unless other types of cables are installed in close proximity or within the same wiring enclosure. The higher operating temperature achieved by grouping will not affect the mineral insulation of the unserved cable. However, care must be taken that the cable environment and means of support can withstand the higher temperatures. NOTE: See Note 5 to Table 1.
(b) Limited length of grouping Groups of cables such as at a switchboard entry, provided that the length of wiring enclosure does not exceed—
(i) for conductor sizes smaller than 300 mm2 for aluminium or smaller than 150 mm2 for copper: 1 m;
(ii) for conductor sizes of 300 mm2 or larger for aluminium and 150 mm2 or larger for copper: 3 m; or
(iii) half the length of the cable;
whichever is the shorter dimension.
(c) Groups of circuits in free air Groups of circuits installed unenclosed under the conditions and circuit arrangements depicted in Figure 1.
(d) Cables operating below current-carrying capacity Cables that, as a result of the conditions of operation of the installation or cable selection practices, are operating at less than 35% of their current-carrying capacity (see Figure 1, Note 3).
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Method of installation Horizontal spacings Vertical spacings
Cables suspended from a catenary
wire where air circulation is
unrestricted or spaced from surfaces
and supported on ladders, racks,
hangers or cleats where the
impedance of the air flow around the
cable is not greater than 10%
Cables spaced from surfaces and
supported on perforated or
unperforated cable trays where air
circulation is partially restricted
Cables fixed directly to a wall, floor,
ceiling or similar surface where air
circulation is restricted
(a) Single-core cables
Method of installation Horizontal spacings Vertical spacings
Cables suspended from a catenary
wire where air circulation is
unrestricted or spaced from surfaces
and supported on ladders, racks,
hangers or cleats where the
impedance of the air flow around the
cable is not greater than 10%
Cables spaced from surfaces and
supported on perforated or
unperforated cable trays where air
circulation is partially restricted
Cables fixed directly to a wall, floor,
ceiling or similar surface where air
circulation is restricted
(b) Multicore cables
FIGURE 1 MINIMUM CABLE SPACINGS IN AIR TO AVOID DERATING
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NOTES TO FIGURE 1:
1 D equals the cable outside diameter or in the case of a flat multicore cable the maximum dimension of the
cable.
2 For simplicity, the illustrations depict balanced multiphase circuits. Where a neutral conductor is required
to be substantially loaded, it shall be placed adjacent to the associated active conductors and the clearance
measured as appropriate (see Note 3 for lightly loaded or unloaded conductors).
3 The illustrations are intended to depict clearances required between cables operating at or near their
sustained current-carrying capacity. Where the loading of any cable is less than 35% of such sustained
capacity it may be disregarded from the cable arrangements as its contribution to the mutual heating of the
group will be small. Such cables, which would include earthing conductors, lightly loaded neutrals and
unloaded control wiring, may be placed adjacent to, or between, groups of associated loaded conductors.
4 Where the cables concerned are not of the same size, the spacing will be based on the largest cable
diameter in the adjacent groups.
5 The spacings are essentially minimum requirements to avoid derating and care should be taken, particularly
with smaller spacings, to avoid installation methods that would reduce these clearances. No restriction is
placed on the number of circuits that may be arranged horizontally with the spacings given. However, care
should be taken if more than three circuits are arranged vertically and full cable utilization is required.
6 Where the spacings are not achieved, smaller spacings and derating factors are laid down in the following
tables:
(a) For circuits installed directly on walls, floors or ceilings ...................................................................... Table 22.
(b) For circuits installed on trays, ladder supports, racks, hangers or cleats...................................Tables 23 and 24.
7 Proportionally smaller spacings would be acceptable where the cables in the group are not loaded to the
full current-carrying capacity. In such cases appropriate rating factors may be obtained from ERA Report
69-30.
3.5.2.3 Cables run horizontally
For cables installed horizontally the following shall apply:
(a) Unenclosed on cable tray, ladder support, rack hanger or cleat Where a single-core or multicore cable is installed horizontally in close proximity to a cable or cables of another circuit and—
(i) it is on perforated or unperforated trays, ladder supports, racks, hangers or cleats; and
(ii) it is either—
(A) touching the other cable or cables; or
(B) in terms of its spacing from the other cable or cables, less than that specified in Clause 3.5.2.2(c) and Figure 1;
the appropriate derating factor shall be as given in Table 23 or Table 24.
(b) Enclosed, fixed to a surface, or bunched in free air Where a single-core or multicore cable is installed horizontally in close proximity to a cable or cables of another circuit—
(i) within a wiring enclosure;
(ii) on a surface, wall, floor or ceiling, spaced or touching;
(iii) bunched in free air; or
(iv) suspended from a catenary;
the appropriate derating factor shall be as given in Table 22.
3.5.2.4 Cables run vertically
Where a cable is installed vertically, the appropriate current-carrying capacities and derating factors shall be—
(a) obtained from Tables 22 to 24 as for cables run horizontally; and Acc
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(b) determined in accordance with Clause 3.5.3 using the highest ambient air temperature up the cable run, if a barrier is not provided at intervals of 3.5 m or less to prevent the vertical flow of air along the cable.
3.5.2.5 Cables buried direct in the ground
Where a single-core or multicore cable is buried directly in the ground and is separated by not less than 2 m from a cable or cables of another circuit carrying substantial currents, no derating factor need be applied. Where the circuits are separated by less than 2 m, the appropriate derating factor shall be obtained from Table 25 or, for installation methods not covered in this Standard, alternative specifications as recommended in Clause 1.3.
NOTE: The derating factors have been determined from the hottest cable in the group and assume
that all cables are of the same thermal grade of insulation.
3.5.2.6 Cables in wiring enclosures
For cables in enclosures the following shall apply:
(a) Underground wiring enclosures Where a single-core or multicore cable is installed in an underground wiring enclosure and is separated by not less than 2 m from a cable or cables of another enclosed circuit carrying substantial currents, no derating factor need be applied. Where the enclosed circuits are separated by less than 2 m, the appropriate derating factor shall be as given in Table 26 or, for installation methods not covered in this Standard, alternative specifications as recommended in Clause 1.3.
(b) Other enclosures Where cables are installed in an enclosure such as a switchboard, the current-carrying capacity shall be determined from the unenclosed in air conditions in Tables 4 to 10 with due regard being given to the derating factors when circuits are bunched.
NOTE: The selection of the derating factor should be based on the number of circuits that would
be loaded; for example, where nine circuits are bunched but only six are loaded at any one time, a
derating factor of 0.57 from Table 22 would be applicable.
3.5.2.7 Conductors connected in parallel or passing more than once within a group or
enclosure
In applying the derating factors of Tables 22 to 26 where—
(a) a group of conductors forming a circuit passes more than once through the same wiring enclosure, group of cables or group of enclosures; or
(b) groups of conductors are connected in parallel;
each separate group of conductors shall be regarded as a separate circuit.
3.5.2.8 Cables on drums or reels
Where layers of flexible cables are wound on a cylindrical-type drum or reel, the current-carrying capacity of the cable shall be derated by the appropriate factor, as follows:
Number of layers: 1 2 3 4
Derating factor: 0.85 0.65 0.45 0.35
Where a single spiral layer of flexible cable is accommodated on a radial-type drum, the current-carrying capacity of the cable shall be derated by a factor of 0.85 for ventilated drums and 0.75 for unventilated drums.
3.5.3 Effect of ambient temperature
The current-carrying capacities given in the tables of this Standard are based on a consistent ambient air temperature of 40°C and an ambient soil temperature of 25°C. Where other ambient temperatures apply, the appropriate rating factors shall be as given in Table 27.
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NOTES:
1 In New Zealand the conditions of installation specify an ambient temperature of 30°C and a
soil temperature of 15°C. A complete set of current rating tables, calculated for New Zealand
conditions, is given in AS/NZS 3008.1.2.
2 Particular consideration should be given to the existence of higher ambient air temperatures in
confined roof spaces, boiler rooms, cable tunnels, vertical shafts and the like. Similarly, lower
ambient temperatures may apply for cables installed in concrete slabs on or above the surface
of the ground.
3 In practice the ambient air temperature may be measured by one of the following simple
methods:
(a) Before installation of cables Measurement may be made by temperature sensors
placed in free air as close as practicable to the position at which the cables are to be
installed.
(b) After installation of cables Measurement may be made by temperature sensors placed
in free air in the vicinity of the cables in such a position that readings are not
influenced by heat arising from the cables. Where the measurements are made while
the cables are loaded, e.g. as may be required by Clause 3.5.2.4 for vertical cable runs,
the sensors should be placed approximately 500 mm, or 10 times the overall diameter
of the cable, from the cables in a horizontal plane, or 150 mm below the cables.
If at the cable position, the ambient temperature, including any increase of temperature due to heat arising from equipment to which the cables are connected, does not exceed 40°C except for infrequent combinations of weather and load currents, then the current-carrying capacities given in the tables apply without correction.
3.5.4 Effect of depth of laying
The current-carrying capacities given in the tables of this Standard are based on a depth of laying of 0.5 m as specified in Clauses 3.4.4 and 3.4.5. Where other depths of laying apply, the appropriate rating factors shall be as given in Table 28.
NOTE: The rating factors are based on the assumption that the effective thermal resistivity of the
ground is constant from a depth of 0.5 m to 3 m. Above and below these respective limits it is
considered that a reduction in effective thermal resistivity occurs due to the composition and
moisture content of the soil.
3.5.5 Effect of thermal resistivity of soil
The current-carrying capacities given in the tables of this Standard are based on a soil thermal resistivity of 1.2°C.m/W.
Soil thermal resistivity varies greatly with soil composition, moisture retention qualities and seasonal weather patterns as well as the variation in load carried by the cable. Higher current-carrying capacities are obtained in clay or peat soils, which may have resistivities as low as 0.8°C.m/W. Similarly, values as high as 2.5°C.m/W may be associated with well drained sands for constantly loaded cables. The value of 1.2°C.m/W has been selected as an average figure on the basis of soil types and assumes maximum thermal resistivity at times of maximum load.
If possible the actual value should be measured along the cable route as it can greatly affect the current-carrying capacity of the cable. Where values for soil resistivities other than 1.2°C.m/W apply, the appropriate rating factors may be obtained from Table 29.
NOTE: Where the soil is known to be of poor quality and has a thermal resistivity greater than
1.2°C.m/W throughout much of the year, consideration should be given to the use of a selected or
stabilized backfill material around the cables or wiring enclosures.
Such backfill should completely surround the cable with a minimum thickness of 200 mm and
could be used in lieu of the bedding required in AS/NZS 3000.
The following two types of material have a worst-case or dried-out thermal resistivity in the order
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(a) Cement-bound sand A mixture of sand bound with cement in the ratio of 14:1 by volume,
with water added to enable adequate compaction to be achieved.
(b) Gravel/sand A mixture of a selected sand having a dried-out thermal resistivity of not
greater than 2.7°C.m/W, with an equal quantity of 10 mm coarse aggregate.
3.5.6 Effect of varying loads
The current-carrying capacities given in the tables of this Standard and the derating factors given in Clauses 3.5.2 to 3.5.5 are based on continuous loading on all conductors. Where it can be shown that intermittent load variations will occur or that all conductors cannot be loaded simultaneously, appropriate uprating factors may be applied.
In many installations, groups of cables comprise a mixture of loaded and unloaded cables at any one time and the designer may justify the use of alternative derating factors to those specified in Tables 22 to 26, if the connected loads have a known diversity. If the diversity is unknown or unobtainable by experiment, the design may have to be based on worst-case analysis of the possible load combinations at any one time. Some information on the diversity of certain loads may be obtained from the determination of maximum demand in AS/NZS 3000.
3.5.7 Effect of thermal insulation
Current-carrying capacities are given in Tables 4 to 15 of this Standard for unenclosed or enclosed cables surrounded by bulk thermal insulating materials that affect the rate of heat dissipation from the cables.
The rate of heat dissipation varies with the type and thickness of material used. A comparative measure of the performance of different materials is known as the R-factor.
The current-carrying capacity values in the tables are based upon typical installation conditions and a range of different materials as described in Clause 3.4.3. Where different materials or installation conditions are used such that the rate of heat dissipation is adversely or favourably affected, lower or higher current-carrying capacities may be obtained respectively.
NOTES:
1 Where a length of cable not exceeding 150 mm passes through bulk thermal insulation,
e.g. for the connection of a lighting point, the cable need not be considered as being
surrounded by thermal insulation.
2 A cable is considered to be affected by thermal insulation if it is embedded in, or surrounded
by, insulating material. Cables lying on top of suitably rigid material do not in general come
into this consideration.
3.5.8 Effect of direct sunlight
Current-carrying capacities are given in Tables 4 to 15, 20 and 21 for cables exposed to direct sunlight. For other types of cable installed in locations exposed to direct solar radiation it will be necessary to make some provision for the effects of the increased heating. This may be achieved by one of the following means:
(a) Provision of a shield, screen or enclosure that allows for the natural ventilation of the cable.
(b) Reduction of the current-carrying capacity of the cable by an appropriate amount in accordance with the higher air temperature. As a rule-of-thumb alternative to any recommendation from a cable manufacturer, a correction factor obtained from Table 27(1) for a temperature 20° higher than the ambient air temperature may be applied.
NOTE: For further information on the effects of ultraviolet radiation, it is recommended that the
cable manufacturer be consulted.
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3.5.9 Effect of harmonic currents on balanced three-phase systems
Where the neutral conductor carries current without a corresponding reduction in load of the phase conductors, the current flowing in the neutral conductor shall be taken into account in ascertaining the current-carrying capacity of the circuit.
This clause is intended to cover the situation where there is current flowing in the neutral of a balanced three-phase system. Such neutral currents are due to the line currents having a harmonic content that does not cancel in the neutral. The most significant harmonic that does not cancel in the neutral is usually the third harmonic. The magnitude of the neutral current due to the third harmonic may exceed the magnitude of the power frequency phase current. The neutral current will then have a significant effect on the current-carrying capacity of the cables in the circuit.
The reduction factors given in this Clause apply to balanced three-phase circuits; it is recognized that the situation is more onerous if only two of the three phases are loaded. In this situation the neutral conductor will carry the harmonic currents in addition to the unbalanced current. Such a situation can lead to overloading of the neutral conductor.
Equipment likely to cause significant harmonic currents are, for example, fluorescent lighting banks and d.c. power supplies such as those found in computers.
The reduction factors given in Table 2 only apply to cables where the neutral conductor is within a four- or five-core cable and is of the same material and cross-sectional area as the phase conductors. These reduction factors have been calculated based on third harmonic currents. If significant, more than 10%, higher harmonics, 9th, 12th, etc. are expected then lower reduction factors are applicable. Where there is an unbalance between phases of more than 50% then lower reduction factors may be applicable.
The tabulated reduction factors, when applied to the current-carrying capacity of a cable with three loaded conductors, will give the current-carrying capacity of a cable with four loaded conductors where the current in the fourth conductor is due to harmonics. The reduction factors also take the heating effect of the harmonic current in the phase conductors into account.
Where the neutral current is expected to be higher than the phase current then the cable size should be selected on the basis of the neutral current.
Where the cable size selection is based on a neutral current that is not significantly higher than the phase current, it is necessary to reduce the tabulated current-carrying capacity for three loaded conductors.
If the neutral current is more than 135% of the phase current and the cable size is selected on the basis of the neutral current then the three-phase conductors will not be fully loaded. The reduction in heat generated by the phase conductors offsets the heat generated by the neutral conductor to the extent that it is not necessary to apply any reduction factor to the current-carrying capacity for three loaded conductors.
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TABLE 2
REDUCTION FACTORS FOR HARMONIC CURRENTS
IN 4- AND 5-CORE CABLES
Third harmonic
content of phase
current
%
Reduction factor
Size selection is based
on phase current
Size selection is based
on neutral current
0 – 15 1.0 —
15 – 33 0.86 —
33 – 45 — 0.86
> 45 — 1.0
NOTE: Examples of the application of reduction factors for harmonic currents are provided in
Appendix C.
3.5.10 Effect of parallel cables
Current-carrying capacities for circuits comprising parallel multicore cables or groups of single-core cables can be determined from the sum of the current-carrying capacity of the various cables provided that consideration is given to—
(a) grouping cables and the effect of cooling by the ambient air or the ground on each parallel cable or group; and
(b) load current sharing between each parallel cable or group so as to prevent overheating of any cable or group.
Equal load current sharing is generally achieved by the selection and installation of cables to give the same impedance, i.e. by using cables of the same conductor material and construction installed over the same route. Mutual impedance is also affected by the configuration of cables within and between each group.
NOTES:
1 Table D1 of Appendix D provides recommended circuit configurations for the installation of
parallel single-core cables in electrically symmetric groups. The recommended method is to
use trefoil groups containing each of the three-phase conductors and neutral in each group.
2 Unequal load current sharing between cables or groups may be permitted provided that the
design current and overcurrent protection requirements for each cable or group are considered
individually. IEC 60364-4-43 provides further information on the conditions under which this
is permitted.
3.5.11 Effect of electromagnetic interference
Certain types of electrical installations, e.g. those containing sensitive electronic equipment or systems, may require minimization of electromagnetic interference arising from magnetic fields developed from current flowing in cables. This may be addressed by—
(a) selection of cables designed for low magnetic field emissions; or
(b) installation of cables in enclosures that contain or shield magnetic fields; or
(c) installation of cables in configurations that produce low magnetic fields. NOTE: Table D1 of Appendix D provides recommended circuit configurations for the installation
of parallel single-core cables in groups that produce reduced levels of magnetic field.
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TABLE 3(1)
SCHEDULE OF INSTALLATION METHODS FOR CABLES DEEMED TO HAVE
THE SAME CURRENT-CARRYING CAPACITY AND CROSS-REFERENCES TO
APPLICABLE DERATING TABLES—UNENCLOSED IN AIR
1 2 3 4 5 6
Item
No.
Cable details
(see Note 2)
Reference drawing
(see Note 3)
Current-carrying
capacity table
reference
Methods of installation for cables
deemed to have the same current-
carrying capacity
(See Notes 4, 5 and 6)
Derating table
1 Two single-
core cables
Tables 4 and 5
Columns 2 to 4
Table 6
Columns 2 and 3
Cables with minimum cable
separation in air as shown for
horizontal and vertical mounting and
installed—
(a) spaced from a wall or vertical
surface;
(b) supported on ladders, racks,
perforated trays, cleats or
hanger;
or
23
2 Three single-
core cables
Tables 7 and 8
Columns 2 to 4
Table 9
Columns 2 and 3
3 (c) suspended from a catenary wire. 22
4 Two single-
core cables
Tables 4 and 5
(see Note 5)
Columns 5 to 7
Table 6
Columns 2 and 3
Cables with minimum cable
spacings in air as shown and
installed—
(a) spaced from a wall or vertical
surface;
(b) supported on ladders, racks,
perforated or unperforated
trays, cleats or hangers;
(c) in a switchboard or similar
enclosure;
or
23
5 Three single-
core cables
Tables 7 and 8
(see Note 5)
Columns 5 to 7
Table 9
Columns 4 and 5 6 (d) suspended from a catenary wire. 22
7 Two single-
core cables
Tables 4 and 5
(see Note 4)
Columns 8 to 10
Table 6
Columns 6 and 7
Cables of the one circuit touching
and installed—
(a) clipped direct to a wall, floor,
ceiling or similar surface;
(b) in a ventilated trench or open
trunking;
(c) buried directly in a plaster or
render on a wall; or
(d) in a switchboard or similar
enclosure.
22
8 Three single-
core cables
Tables 7 and 8
(see Note 4)
Columns 8 to 10
Table 9
Columns 6 and 7.
(continued)
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1 2 3 4 5 6
Item
No. Cable details
(see Note 2)
Reference drawing
(see Note 3)
Current-carrying
capacity table
reference
Methods of installation for cables
deemed to have the same current-
carrying capacity
(See Notes 4, 5 and 6)
Derating table
9 Two-core
cables
Tables 10 and 11
(see Note 5)
Columns 2 to 4
Table 12
Columns 2 and 3
Cables with minimum spacings in
air as shown and installed—
(a) spaced from a wall or vertical
surface;
(b) supported on ladders, racks,
perforated or unperforated
trays, cleats or hangers;
(c) in a switchboard or similar
enclosure;
or
24
10 Three-core
cables
Tables 13 and 14
(see Note 5)
Columns 2 to 4
Table 15
Columns 2 and 3 11 (d) suspended from a catenary or as
a self-supported overhead cable. 22
12 Two-core
cables
Tables 10 and 11
(see Note 4)
Columns 5 to 7
Table 12
Columns 4 and 5
Cables installed—
(a) clipped direct to a wall, floor,
ceiling or similar surface;
(b) buried directly in concrete or
masonry above the ground or in
plaster or render on a wall;
(c) in a ventilated trench or open
trunking;
or
(d) in a switchboard or similar
enclosure
22
13 Three-core
cables
Tables 13 and 14
(see Note 4)
Columns 5 to 7
Table 15
Columns 4 and 5
NOTES:
1 D equals the cable outside diameter or in the case of a flat multicore cable the maximum dimension of the
cable.
2 Earthing conductors, lightly loaded neutral conductors of three-phase circuits and conductors subject only
to momentary loading, such as control wiring, shall not be counted in the number of cable cores.
3 See column headings of Tables 4 to 15.
4 See Table 22 for the derating factor applicable to a single circuit fixed to the underside of a ceiling or
similar horizontal surface.
5 See Tables 23 and 24 for the derating factors applicable to a single circuit fixed to perforated or
unperforated trays.
6 See AS/NZS 3000 for the restricted installation conditions of certain types of cable, e.g. unarmoured
cables in plaster or cement render on walls.
TABLE 3(1) (continued)
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TABLE 3(2)
SCHEDULE OF INSTALLATION METHODS FOR CABLES DEEMED TO HAVE
THE SAME CURRENT-CARRYING CAPACITY AND CROSS-REFERENCES TO
APPLICABLE DERATING TABLES—ENCLOSED
1 2 3 4 5 6
Item
No.
Cable
details
(see Note 1)
Reference drawing
(see Note 2)
Current-carrying
capacity table
reference
Methods of installation for cables
deemed to have the same current-
carrying capacity (See Note 3)
Derating
table for
more than
one circuit
1 Two single-
core cables
Tables 4 and 5
Columns 15 to 17
Table 6
Columns 11 and 12
Cables in wiring enclosures installed
in—
(a) air;
(b) plaster, cement render, masonry
or concrete in a wall or floor;
(c) a concrete slab on or above the
surface of the ground; or
(d) a ventilated trench.
Cables installed in—
(a) a wiring enclosure on a wall; or
(b) an enclosed trench with a
removable cover.
22 2 Three
single-core
cables
Tables 7 and 8
Columns 15 to 17
Table 9
Columns 11 and 12
3 Two single-
core cables
Tables 4 and 5
Columns 18 and 19
Table 6
Column 13
Cables enclosed or unenclosed—
(a) partially surrounded by thermal
insulation material; or
(b) in an enclosed trench.
22 4 Three
single-core
cables
Tables 7 and 8
Columns 18 and 19
Table 9
Column 13
5 Two single-
core cables
Tables 4 and 5
Columns 20 and 21
Table 6
Column 14
Unenclosed cables completely
surrounded by thermal insulation.
22 6 Three
single-core
cables
Tables 7 and 8
Columns 20 and 21
Table 9
Column 14
(continued)
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1 2 3 4 5 6
Item
No.
Cable
details
(see Note 1)
Reference drawing
(see Note 2)
Current-carrying
capacity table
reference
Methods of installation for cables
deemed to have the same current-
carrying capacity (See Note 3)
Derating
table for
more than
one circuit
7 Two-core
cables
Tables 10 and 11
Columns 11 to 13
Table 12
Columns 9 and 10
Cables in wiring enclosures installed
in—
(a) air;
(b) plaster, cement render, masonry
or concrete in a wall or floor;
(c) a concrete slab on or above the
surface of the ground; or
(d) a ventilated trench.
Cables installed in—
(a) closed trunking, or wiring
enclosures on a wall; or
(b) an enclosed trench with a
removable cover.
22
8 Three-core
cables
Tables 13 and 14
Columns 11 to 13
Table 15
Columns 9 and 10
9 Two-core
cables
Tables 10 and 11
Columns 15 to 18
Table 12
Column 11
Enclosed or unenclosed cables
partially surrounded by thermal
insulation.
22 10 Three-core
cables
Tables 13 and 14
Columns 15 to 18
Table 15
Column 11
11 Two-core
cables
Tables 10 and 11
Columns 19 to 22
Table 12
Column 12
Enclosed or unenclosed cables
completely surrounded by thermal
insulation.
22 12 Three-core
cables
Tables 13 and 14
Columns 19 to 22
Table 15
Column 12
NOTES:
1 Earthing conductors, lightly loaded neutral conductors of three-phase circuits and conductors subject only
to momentary loading, such as control wiring, shall not be counted in the number of cable cores.
2 See column headings of Tables 4 to 15.
3 See AS/NZS 3000 for the restricted installation conditions of certain types of cables, e.g. insulated or
insulated and sheathed cables in metallic and non-metallic conduits.
TABLE 3(2) (continued)
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TABLE 3(3)
SCHEDULE OF INSTALLATION METHODS FOR CABLES DEEMED TO HAVE
THE SAME CURRENT-CARRYING CAPACITY AND CROSS-REFERENCES TO
APPLICABLE DERATING TABLES—BURIED DIRECT IN THE GROUND
1 2 3 4 5 6
Item
No.
Cable
details
(see Note 1)
Reference drawing
(see Note 2)
Current-carrying
capacity table
reference
Methods of installation for cables
deemed to have the same current-
carrying capacity (see Note 3)
Derating
table for
more than
one circuit
1 Two single-
core cables
Tables 4 and 5
Columns 22 and 23
Table 6
Column 15
Cables with a minimum depth of
laying of—
(a) 0.3 m under continuous
concrete paved areas; or
(b) 0.5 m in other locations.
25(1) 2 Three
single-core
cables
Tables 7 and 8
Columns 22 and 23
Table 9
Column 15
3 Two-core
cables
Tables 10 and 11
Columns 23 and 24
Table 12
Column 13 25(2)
4 Three-core
cables
Tables 13 and 14
Columns 23 and 24
Table 15
Column 13
NOTES:
1 Earthing conductors, lightly loaded neutral conductors of three-phase circuits and conductors subject only
to momentary loading, such as control wiring, shall not be counted in the number of cable cores.
2 See column headings of Tables 4 to 15.
3 See Tables 27 and 28 for rating factors applicable to different ambient soil temperatures and depths of
laying.
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TABLE 3(4)
SCHEDULE OF INSTALLATION METHODS FOR CABLES DEEMED TO HAVE
THE SAME CURRENT-CARRYING CAPACITY AND CROSS-REFERENCES TO
1 For heated concrete slabs, the ambient temperature shall be taken as the operating temperature of the slab.
2 The normal usage of high temperature insulation cables is in ambient air temperatures greater than 40°C,
see Table 17.
3 For cables with a maximum permissible operating temperature above the normal use temperatures
specified in Table 3, derating may not be necessary (see Notes to Table 1 for further details)
TABLE 27(2)
RATING FACTORS
VARIANCE: SOIL AMBIENT TEMPERATURE
INSTALLATION
CONDITIONS:
CABLES BURIED DIRECT IN GROUND OR IN UNDERGROUND
WIRING ENCLOSURES
1 2 3 4 5 6 7 8
Conductor
temperature
°C
Rating factor
Soil ambient temperature, °C
10 15 20 25 30 35 40
110
90
80
1.08
1.11
1.13
1.06
1.07
1.09
1.03
1.03
1.04
1.0
1.0
1.0
0.97
0.97
0.96
0.94
0.93
0.91
0.91
0.89
0.85
75 1.14 1.10 1.05 1.0 0.95 0.89 0.83
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TABLE 28(1)
RATING FACTORS
CABLE TYPES: SINGLE-CORE OR MULTICORE
VARIANCE: DEPTH OF LAYING
INSTALLATION
CONDITIONS:
BURIED DIRECT IN GROUND
1 2 3 4
Depth of laying
m
Rating factor
Conductor size, mm2
Up to 50 Above 50 up to 300 Above 300
0.5
0.6
0.8
1.00
0.99
0.97
1.00
0.98
0.96
1.00
0.97
0.94
1.0
1.25
1.5
0.95
0.94
0.93
0.94
0.92
0.91
0.92
0.90
0.89
1.75
2.0
2.5
0.92
0.91
0.90
0.89
0.88
0.87
0.87
0.86
0.85
3.0 or more 0.89 0.86 0.83
NOTE: The ambient temperature at the surface is to be taken at 40°C and not 25°C as at a
depth of 0.5 m.
TABLE 28(2)
RATING FACTORS
CABLE TYPES: SINGLE-CORE OR MULTICORE
VARIANCE: DEPTH OF LAYING
INSTALLATION
CONDITIONS:
IN UNDERGROUND WIRING ENCLOSURES
1 2 3
Depth of laying
m
Rating factor
Single-core* Multicore
0.5
0.6
0.8
1.00
0.98
0.95
1.00
0.99
0.97
1.0
1.25
1.5
0.93
0.90
0.89
0.96
0.95
0.94
1.75
2.0
2.5
0.88
0.87
0.86
0.94
0.93
0.93
3.0 or more 0.85 0.92
* These rating factors apply to single-core cables enclosed separately, or grouped in a single wiring
enclosure.
NOTE: The ambient temperature at the surface is to be taken as 40°C and not 25°C as at a
depth of 0.5 m. For depth less than 0.5 m, see Table 3(4).
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TABLE 29
RATING FACTORS
VARIANCE: THERMAL RESISTIVITY OF THE SOIL (FROM 1.2°C.m/W)
INSTALLATION
CONDITIONS:
BURIED DIRECT IN GROUND AND IN UNDERGROUND WIRING
ENCLOSURES
1 2 3 4 5 6
Rating factor
Thermal
resistivity of soil
°C.m/W
Multicore cable
buried direct
Two or three
single-core
cables buried
direct
Multicore cable
in a wiring
enclosure
Two single- core
cables in a
wiring
enclosure*
Three single-
core cables in a
wiring
enclosure*
0.8
0.9
1.0
1.09
1.07
1.04
1.16
1.11
1.07
1.03
1.02
1.02
1.06
1.04
1.03
1.08
1.06
1.04
1.2
1.5
2.0
1.00
0.92
0.81
1.00
0.90
0.80
1.00
0.95
0.88
1.00
0.94
0.86
1.00
0.92
0.83
2.5
3.0
0.74
0.69
0.72
0.66
0.83
0.78
0.80
0.75
0.77
0.71
* These rating factors apply to single-core cables enclosed separately, or grouped in a single wiring enclosure.
NOTE: See Clause 3.5.5 for additional information on thermal resistivity of soil.
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S E C T I O N 4 V O L T A G E D R O P
4.1 GENERAL
The provisions of this Section apply to the selection of conductor sizes with regard to voltage drop.
NOTE: AS/NZS 3000 imposes limitations on circuit arrangements in order to restrict excessive
voltage drop between supply and load.
Clauses 4.2 and 4.3 describe a simplified method of determining the voltage drop for use with Tables 40 to 50 for applications where only the route length and load current of balanced circuits are known.
Clauses 4.4 and 4.5 describe a more accurate method of determining the voltage drop for use with Tables 30 to 39 where the cable size is known or anticipated.
Clause 4.6 describes a method for determining the voltage drop where unbalanced load current conditions occur.
4.2 DETERMINATION OF VOLTAGE DROP FROM MILLIVOLTS PER AMPERE
METRE
The voltage drop (mV/A.m) values given in Tables 40 to 50 are for various cable types and configurations and maximum operating temperatures.
In applying these voltage drop values, the smallest permissible conductor is the smallest that satisfies the following equations:
IL
VV
×= d
c
1000 . . . 4.2(1)
1000
c
d
VILV
××= . . . 4.2(2)
Vp ≥ sum of Vd on circuit run
where
Vc = the millivolt drop per ampere-metre route length of circuit, as shown in the tables for various conductors, in millivolts per ampere metre (mV/A.m)
NOTES:
1 To convert single-phase voltage drop (mV/A.m) values to three-phase values, multiply the
single-phase values by 0.866 ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
2
3. To convert three-phase values to single-phase
values, multiply the three-phase values by 1.155 ⎟⎟⎠
⎞⎜⎜⎝
⎛
3
2.
2 Paragraph C4 and C7 of AS/NZS 3000:2007 details a simplified method of calculating the
voltage drop for PVC cables up to 95 mm2, operating at 75°C with maximum values of Vc.
The method allows the addition of single phase and three phase percentages.
Vd = actual voltage drop, in volts
Vp = permissible voltage drop on the circuit run, e.g. 5% of supply voltage, in volts
L = route length of circuit, in metres
I = the current to be carried by the cable, in amperes.
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The voltage drop values in Tables 40 to 50 may not be applicable under the following conditions:
(a) Where the cable operating temperature is lower than the maximum temperature permitted for the insulation material. See Clause 4.4 for a method of determining the cable operating temperature for use with the tables.
(b) Where the load power factor and cable power factor do not give rise to conditions for maximum voltage drop, or the load power factor for larger size conductors varies from 0.8 lagging. See Clause 4.5 for a method of determining the voltage drop where other power factor values are known to be consistent.
(c) Where out-of-balance load conditions exist. See Clause 4.6 for a method of determining the actual voltage drop on a circuit where out-of-balance loads are known to be consistent.
4.3 DETERMINATION OF VOLTAGE DROP FROM CIRCUIT IMPEDANCE
4.3.1 General
Voltage drop in a circuit represents the vectorial difference in voltage between the origin or supply end and the load end. For the purpose of determining the maximum voltage drop value in Clause 4.2, the voltage drop (Vd) has been related to the impedance of the cables forming the circuit when the power factor of the cable is equal to the power factor of the load, in which case—
Vd = IZc . . . 4.3(1)
where
Vd = voltage drop in cable, in volts
I = current flowing in cable, in amperes
Zc = impedance of cable, in ohms
= √(R2c + X2
c)
where
Rc = cable resistance, in ohms; a function of the material, size and temperature of the conductors
Xc = cable reactance, in ohms; a function of the conductor shape and cable spacing
= 0, for direct current conditions.
The reactance Xc and resistance Rc of cables is expressed in this Standard as ohms per kilometre, which enables the total impedance Zc for any given cable route length L to be readily calculated.
Therefore the maximum volt drop in a cable, when the power factor of the cable is equal to the power factor of the load is obtained by multiplying the cable impedance Zc by the length of cable and the current as follows:
1000
c
d
ILZV = . . . 4.3(2)
where
L = route length, in metres (see Clause 1.5.6)
Vd = voltage drop in cable, in volts
Zc = impedance of cable, in ohms/km Acc
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4.3.2 Single-phase, two-wire supply system
For a single-phase circuit the impedance of the active and neutral conductors is taken into account. As these conductors are of the same material and generally the same size, the voltage drop on the circuit is twice what it would be for a single cable—
1000
cdIφ
ILZV = or
1000
) 2cZ ( L I
. . . 4.3(3)
4.3.3 Three-phase, three-wire or four-wire supply system
For a balanced three-phase circuit no current is flowing in the neutral conductor and at any given instant the current flowing in one active conductor will be balanced by the currents flowing in the other active conductors. The voltage drop per phase to neutral is the voltage drop in one cable and the voltage drop between phases is therefore—
1000
3 =
c
3 d
ILZV
√φ or
1000
) c
Z3 ( L I √ . . . 4.3(4)
As the single-phase voltage drop (mV/A.m) values represent 2Zc and the three-phase voltage drop (mV/A.m) values represent √3Zc, then the following conversions may be used:
(a) Single-phase voltage drop (mV/A.m) value = 1.155 × three-phase voltage drop (mV/A.m) value.
(b) Three-phase voltage drop (mV/A.m) value = 0.866 × single-phase voltage drop (mV/A.m) value.
4.3.4 Two-phase, three-wire, earthed neutral 120-degree supply system
For a balanced two-phase circuit of this type the current flowing in the neutral conductor will balance the currents flowing in the active conductors. The voltage drop may be assessed on a single-phase basis by summing the voltage drop in one active conductor (IZc) with the in-phase component of voltage drop in the neutral (0.5IZc), i.e.
1000
0.5 + =
ccd
ILZILZV
=1000
) 51c
ILZ ( .
= V . φ 1 d750
. . . 4.3(5)
4.3.5 Single-phase, three-wire, earthed centre-tapped 180-degree supply system
For a balanced single-phase circuit of this type no current is flowing in the neutral or centre-tapped conductor. Therefore the voltage drop on a single-phase basis will only be that associated with the current flowing in one active conductor, i.e.
1000 =
cd
ILZV . . . 4.3(6)
= φ1d5.0 V
4.4 DETERMINATION OF VOLTAGE DROP FROM CABLE OPERATING
TEMPERATURE
As described in Clause 3.2.2 and Table 1 of this Standard, the sustained cable current-carrying capacities given in Tables 4 to 19 are based on cables operating at the maximum conductor temperature permitted by the cable insulation material when installed in specified ambient conditions. In many situations, however, the cable operating temperature is considerably less than the maximum figure. Some situations where this will occur are as follows:
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(a) Cables sizes are selected in order not to exceed a certain voltage drop figure.
(b) Cable sizes are selected for convenience, mechanical strength or short-circuit capacity as required by AS/NZS 3000.
(c) The ambient air or soil temperatures are consistently below the specified or standard conditions.
The conductor temperature can be estimated using the following equation:
AR
A0
2
0
θ−θθ−θ=⎟⎟
⎠
⎞⎜⎜⎝
⎛
RI
I . . . 4.4(1)
where
I0 = operating current, in amperes
IR = rated current given in Tables 4 to 21, in amperes
(For cable affected by the presence of certain external influences as detailed inClauses 3.5.2 to 3.5.8, it will be necessary to correct the rated current given in Tables 4 to 21 by the application of an appropriate rating factor or factorsobtained from Tables 22 to 29.)
θ0 = operating temperature of cable when carrying I0, in degrees Celsius
θR = operating temperature of the cable when carrying IR, in degrees Celsius
θA = ambient air or soil temperature, in degrees Celsius
The calculated operating temperature (θ0) is then raised to the nearest temperature 45°C, 60°C, 75°C, 80°C, 90°C or 110°C for use with Tables 34 to 50 to determine the cable a.c. resistance and three-phase voltage drop.
4.5 DETERMINATION OF VOLTAGE DROP FROM LOAD POWER FACTOR
The relationship between the supply and load voltages under different conditions of load power factor is illustrated in the phasor diagrams of Figure 2.
From the phasor diagrams of Figure 2 it can be seen that a larger value of supply voltage is required to maintain a given load voltage when the current is lagging the voltage than when the same current and voltage are in phase. Furthermore, a still smaller supply voltage is required to maintain the given load voltage when the current leads the load voltage.
The voltage drop (IZc) is the same in all cases, but because of the different power factors the voltage (IZc) is added to the load voltage at a different angle in each case. It can be seen that in the particular instance where the cable power factor and the load power factor are equal, the voltage drop (Vd) is a maximum of IZc as discussed in Clause 4.3.
In other situations of load power factor the difference between the magnitudes of the supply voltage (E) and the load voltage (VL) is smaller. It will be noted that the magnitude of the phasors IRc and IXc has been exaggerated with respect to VL in Figure 2 to illustrate the point. In practice the voltage drop is very much smaller than the supply voltage and the difference between the magnitudes of the supply and load voltages may be approximated by the following equation:
E − VL = I(Rc cos θ + Xc sin θ) for lagging p.f. . . . 4.5(1)
= I(Rc cos θ − Xc sin θ) for leading p.f. . . . 4.5(2)
Therefore for a single-phase system:
Vd1φ = IL [2(Rc cos θ + Xc sin θ)] . . . 4.5(3)
and a three-phase system:
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Vd3φ = IL [√3(Rc cos θ + Xc sin θ)] . . . 4.5(4)
where
L = route length of circuit, in metres
Rc = cable resistance, in ohms per metre
Xc = cable reactance, in ohms per metre.
Values of Rc and Xc are given in units of ohms per kilometre (Ω/km) in Tables 30 to 39. It will be noted that the influence of skin effect on resistance has been taken into account in the specification of cable resistance values in Tables 38 to 43 and as such are referred to as values of a.c. resistance.
FIGURE 2 PHASOR DIAGRAMS ILLUSTRATING VOLTAGE DROP
VARIATION WITH LOAD POWER FACTOR
4.6 DETERMINATION OF VOLTAGE DROP IN UNBALANCED MULTIPHASE
CIRCUITS
For unbalanced multiphase circuits, current will be flowing in the neutral conductor as illustrated in the phasor diagram of Figure 3.
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FIGURE 3 PHASOR DIAGRAM OF CURRENTS IN
UNBALANCED THREE-PHASE CIRCUIT
A conservative solution to the voltage drop assessment in these situations would be to assume balanced three-phase load conditions and perform calculations using the current flowing in the heaviest-loaded phase. In many cases this will still be necessary if the out-of-balance conditions are inconsistent or intermittent.
However, where the currents in each phase can be shown to be of different magnitudes for consistent periods, voltage drop calculations can be performed on a single-phase basis by geometrically summing the voltage drop in the heaviest loaded phase and the voltage drop in the neutral, as follows:
Vd = voltage drop in heaviest loaded active + voltage drop in neutral
= IALAZcA + INLNZcN . . . 4.6(1)
The voltage drop in each conductor can then be assessed with a knowledge of the specific conductor material, size, temperature and length, the magnitude and phase angle of the current flowing in each conductor, and the phase angle of the load by using the appropriate equations given in this Clause.
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TABLE 30
REACTANCE (Xc) AT 50 Hz
CABLE TYPE: ALL CABLES EXCLUDING FLEXIBLE CORDS, FLEXIBLE CABLES,
MIMS CABLES AND AERIAL CABLES
1 2 3 4 5 6 7 8 9 10 11 12
Conductor
size
Reactance (Xc) at 50 Hz, Ω/km
Single-core Multicore
Trefoil (or single phase) Flat touching* Circular conductors Shaped conductors
NOTE: These Vc values apply to a balanced three-phase circuit in which no current flows in the neutral
conductor. To determine the single phase Vc the current in the neutral conductor needs to be considered
by multiplying the three-phase value by 3
2= 1.155.
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TABLE 50
THREE-PHASE VOLTAGE DROP (Vc) AT 50 Hz
CABLE TYPE: AERIAL WITH BARE OR INSULATED COPPER CONDUCTORS
1 2 3 4 5 6 7 8 9
Conductor
size (mm2)
or
stranding
(No./mm)
Three-phase voltage drop (Vc) at 50 Hz, mV/A.m
Conductor temperature, °C
45 60 75 80
Max 0.8 p.f Max 0.8 p.f Max 0.8 p.f Max 0.8 p.f
7/1.00
6
7/1.25
6.22
6.06
4.02
—
—
—
6.55
6.39
4.23
—
—
—
6.88
6.71
4.45
—
—
—
6.99
6.82
4.52
—
—
—
10
16
7/1.75
3.63
2.32
2.10
—
—
—
3.82
2.44
2.20
—
—
—
4.01
2.55
2.31
—
—
—
4.07
2.59
2.34
—
—
—
7/2.00
25
35
1.65
1.53
1.16
—
—
—
1.73
1.60
1.21
—
—
—
1.81
1.67
1.26
—
—
—
1.83
1.69
1.27
—
—
—
7/2.75
50
19/1.75
0.981
0.920
0.915
—
—
—
1.02
0.954
0.948
—
—
—
1.06
0.988
0.982
—
—
—
1.07
1.00
0.993
—
—
—
19/2.00
70
7/3.50
0.768
0.725
0.719
0.765
0.720
0.712
0.791
0.745
0.738
0.790
0.742
0.734
0.815
0.767
0.758
0.815
0.765
0.756
0.823
0.774
0.765
0.823
0.772
0.763
7/3.75
95
37/1.75
0.667
0.620
0.619
0.654
0.601
0.599
0.683
0.633
0.632
0.673
0.618
0.616
0.700
0.647
0.646
0.692
0.635
0.632
0.705
0.652
0.650
0.698
0.640
0.638
19/2.75
120
19/3.00
0.562
0.556
0.529
0.527
0.521
0.482
0.571
0.565
0.535
0.540
0.534
0.493
0.580
0.574
0.542
0.553
0.547
0.504
0.584
0.577
0.545
0.558
0.551
0.508
150
185
37/2.50
0.517
0.485
0.484
0.469
0.422
0.419
0.523
0.489
0.488
0.479
0.431
0.427
0.530
0.493
0.492
0.490
0.439
0.435
0.532
0.495
0.493
0.493
0.442
0.438
NOTE: These Vc values apply to a balanced three-phase circuit in which no current flows in
the neutral conductor. To determine the single phase Vc the current in the neutral conductor
needs to be considered by multiplying the three-phase value by3
2 = 1.155.
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TABLE 51
THREE-PHASE VOLTAGE DROP (Vc) AT 50 Hz
CABLE TYPE: AERIAL WITH BARE OR INSULATED ALUMINIUM CONDUCTORS
1 2 3 4 5 6 7 8 9
Conductor
size (mm2)
or
stranding
(No./mm)
Three-phase voltage drop (Vc) at 50 Hz, mV/A.m
Conductor temperature, °C
45 60 75 80
Max. 0.8 p.f. Max. 0.8 p.f. Max. 0.8 p.f. Max. 0.8 p.f.
16
25
35
3.68
2.35
1.74
—
—
—
3.87
2.47
1.82
—
—
—
4.07
2.59
1.91
—
—
—
4.13
2.63
1.93
—
—
—
7/2.50
7/2.75
50
1.68
1.41
1.33
—
—
—
1.76
1.48
1.39
—
—
—
1.84
1.55
1.45
—
—
—
1.86
1.57
1.47
—
—
—
7/3.00
70
7/3.75
1.22
0.980
0.863
—
—
—
1.27
1.02
0.894
—
—
—
1.33
1.06
0.925
—
—
—
1.35
1.07
0.936
—
—
—
95
7/4.50
120
0.776
0.686
0.671
0.776
0.680
0.666
0.802
0.705
0.690
—
0.701
0.686
0.829
0.725
0.709
—
0.722
0.707
0.837
0.731
0.715
—
0.729
0.714
7/4.75
150
19/3.25
0.647
0.601
0.572
0.637
0.587
0.551
0.664
0.615
0.584
0.656
0.604
0.566
0.680
0.630
0.596
0.675
0.621
0.581
0.686
0.635
0.600
0.681
0.627
0.586
185
19/3.50
0.543
0.537
0.516
0.507
0.552
0.546
0.530
0.520
0.563
0.555
0.543
0.533
0.566
0.559
0.547
0.537
NOTE: These Vc values apply to a balanced three-phase circuit in which no current flows in
the neutral conductor. To determine the single phase Vc the current in the neutral conductor
needs to be considered by multiplying the three-phase value by 3
2= 1.155.
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S E C T I O N 5 S H O R T - C I R C U I T P E R F O R M A N C E
5.1 GENERAL
This Section is applicable to the short-circuit maximum temperature rating of electric cables having a rated voltage not exceeding 0.6/1 kV. Guidance is given on the following aspects:
(a) Maximum permissible short-circuit temperatures for cable—
(i) insulating materials;
(ii) outer jacket and bedding materials; and
(iii) conductor and metallic sheath materials and components.
(b) The influence of the method of installation on the temperature limit.
(c) The calculation of the permissible short-circuit current in the current-carrying components of the cable.
5.2 FACTORS GOVERNING THE APPLICATION OF THE TEMPERATURE
LIMITS
The short-circuit temperatures given in Clause 5.5 are the actual temperatures of the current-carrying component as limited by the adjacent materials in the cable and are valid for short-circuit durations of up to 5 s. These temperatures will only be obtained in practice if non-adiabatic heating is assumed (that is, an appropriate allowance for heat loss into the dielectric during the short circuit is made) when calculating the allowable short-circuit current for a given time (not longer than 5 s). The use of the adiabatic method (that is, when heat loss from the current-carrying component during the short circuit is neglected) gives short-circuit currents that are on the safe side. The 5-second period quoted is the limit for the temperatures quoted to be valid, not for the application of the adiabatic calculation method. The time limit for the use of the adiabatic method has a different definition, being a function of both the short-circuit duration and the cross-sectional area of the current-carrying component.
For thermoplastic insulating materials the limits must be applied with caution when the cables are either directly buried or securely clamped when in air. Local pressure due to clamping or the use of an installation radius less than 8 times the cable outside diameter, especially for cables that are rigidly restrained, can lead to high deforming forces under short-circuit conditions. Where these conditions cannot be avoided it is suggested that the limit be reduced by 10°C. The limits quoted are based on average hardness grades of PVC and some adjustment may be necessary for other grades, especially those compounded for improved low-temperature properties.
NOTES:
1 Caution should be exercised when using the limits recommended for thermosetting materials
on large conductors because the high mechanical forces combined with any residual
characteristics could result in deformation sufficient to cause failure.
2 Caution may be needed with total cross-sectional areas in the region of 1000 mm2 when using
the conductor temperatures specified for impregnated paper, cross-linked polyethylene
(XLPE) and ethylene propylene rubber (EPR) insulation and the cable is sheathed with a
lower-temperature material.
3 Information on the short-circuit performance of MIMS cable is not included in this Standard
and reference should be made to manufacturer’s recommendations.
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5.3 CALCULATION OF PERMISSIBLE SHORT-CIRCUIT CURRENTS
The following adiabatic method, which neglects heat loss, is accurate enough for calculating permissible conductor and metallic sheath short-circuit currents for the majority of practical cases and any error is on the safe side. However, for thin screens the adiabatic method indicates much higher temperature rises than actually occur in practice and thus must be used with some discretion.
The generalized form of the adiabatic temperature rise equation, which is applicable to any starting temperature, is as follows:
I2t = K2S2 . . . 5.3(1)
where
I = short-circuit current (r.m.s. over duration), in amperes
t = duration of short circuit, in seconds
K = constant depending on the material of the current-carrying component, the initial temperature and the final temperature
NOTE: Refer to Table 52 for values of constant (K).
S = cross-sectional area of the current-carrying component, in square millimetres.
NOTE: For conductors and metallic sheaths, it is sufficient to take the nominal
cross-sectional area but in the case of screens, this quantity requires careful consideration.
TABLE 52
VALUES OF CONSTANT K FOR DETERMINATION OF PERMISSIBLE
When it is intended to make full use of the short-circuit limits of a cable, consideration should be given to the influence of the method of installation. An important aspect concerns the extent and nature of the mechanical restraint imposed on the cable. Longitudinal expansion of a cable during a short circuit can be significant and when this expansion is restrained the resultant forces are considerable.
Where cables are installed in air, provision should be made so that expansion may be absorbed uniformly along the length by snaking rather than permitting it to be relieved by excessive movement at a few points only. Fixings should be spaced sufficiently far apart to permit lateral movement of multicore cables or groups of single-core cables.
Where cables are buried directly in the ground, or must be restrained by frequent fixing, provision should be made to accommodate the resulting longitudinal forces on terminations and joint boxes. Sharp bends should be avoided because the longitudinal forces are translated into radial pressures at bends in the cable route and these may damage thermoplastic components of the cable such as insulation and sheaths. Attention is drawn to the minimum bending radius recommended for the type of cable. For cables in air, it is also desirable to avoid fixings at a bend, which may cause local pressure on the cable.
In determining the short-circuit stresses that will be imposed on a cable, the characteristics of the protective devices used shall be considered.
5.5 MAXIMUM PERMISSIBLE SHORT-CIRCUIT TEMPERATURES
5.5.1 General
Taking into account the recommendation given in Clause 5.2, the temperature values given in Tables 52 to 54 are—
(a) the actual temperatures of the current-carrying components; and
(b) the limits specified for short-circuits of up to 5 s duration.
5.5.2 Insulating materials
The temperature limits given in Table 53 are for all types of conditions when the insulating materials specified are in contact with conductors.
Cross-linked polyolefin: X-90, X-90UV, X-HF-90 and
X-HF-110
250
High temperature: R-S-150 and Type 150 fibrous 350
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5.5.3 Outer sheath and bedding materials
The temperature limits given in Table 54 are for the outer sheath and bedding materials comprising a continuous screen/sheath or a complete layer of armour wires. These temperatures are for materials where there are no electrical or other requirements necessary, i.e. screen/sheath/armour temperature limits when in contact with the outer sheath materials but thermally separated from the insulation by layers of suitable material of sufficient thickness. If thermal separation is not provided, the temperature limits of the insulation should be used if it is lower than that of the sheath.
TABLE 54
TEMPERATURE LIMITS FOR OUTER SHEATH
AND BEDDING MATERIALS
Material Temperature limit
°C
Thermoplastic 200
Polyethylene 150
High density polyetheylene 180
Polychloroprene, chlorosuphonated
polyethylene and similar 200
5.5.4 Conductor and metallic sheath materials and components
The temperature limits specified in Table 55 apply to the conductor and metallic sheath materials and components.
NOTE: Limitations of materials in contact with these metals should also be considered.
TABLE 55
TEMPERATURE LIMITS FOR CONDUCTOR AND METALLIC SHEATH
MATERIALS AND COMPONENTS
Metals Condition Temperature limit
°C
Copper and aluminium Conductor only*
Welded joint
†
†
Exothermic welded joint
Soldered joint
Compression (mechanical deformation) joint
Mechanical (bolted) joint
250‡
160
250‡
§
Lead
Lead alloy
Steel
170
200
†
* Includes concentric neutral conductors.
† Limited by the material with which it is in contact.
‡ Temperature of adjacent conductor, actual joint will be at a lower temperature.
§ Refer to manufacturer’s recommendations.
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APPENDIX A
EXAMPLES OF THE SELECTION OF CABLES TO SATISFY CURRENT-CARRYING CAPACITY, VOLTAGE DROP AND
SHORT-CIRCUIT PERFORMANCE REQUIREMENTS
(Informative)
A1 EXAMPLE 1
A1.1 Problem
An underground 1500 A three-phase circuit is to be made up of parallel circuits of 400 mm2 V-75 single-core insulated and sheathed copper cables. Determine the minimum number of active conductors required for each of the following forms of installation:
(a) All cables in one conduit or duct.
(b) Each parallel circuit comprising three cables in one conduit or duct.
(c) Each parallel circuit comprising a trefoil group of single-way underground ducts.
(d) Each parallel circuit comprising a trefoil group of three cables buried direct.
A1.2 Solution
Assuming that the conditions specified in Clause 3.4 apply, i.e. soil ambient temperature, thermal resistivity and depth of laying, the following methods would satisfy the load requirements, if the voltage drop is acceptable:
(a) Method A—Single conduit or duct Current-carrying capacity of single 400 mm2 circuit = 492 A (Table 7, Column 24).
From the derating factors of Table 22, which vary according to the number of enclosed circuits, it can be shown that five parallel circuits of 400 mm2 conductors, as illustrated, are required.
The current-carrying capacity of the arrangement is—
492 × 5 × 0.6 = 1476 A
(b) Method B—Groups of conduits or ducts Current-carrying capacity of single 400 mm2 circuit = 492 A (Table 7, Column 24).
From the derating factors of Table 26(2) for groups of underground enclosures, it can be shown that four conduits or ducts, each containing a circuit of 400 mm2 conductors and touching, as illustrated, are required.
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The current-carrying capacity of the arrangement is—
492 × 4 × 0.79 = 1554.7
(c) Method C—Trefoil groups of single-way underground ducts
Current-carrying capacity of single 400 mm2 circuit = 553 A (Table 7, Column 27).
From the derating factors of Table 26(1) for groups of underground enclosures, it can be shown that four trefoil groups of single-way underground ducts, each group representing a circuit of 400 mm2 conductors, as illustrated, are required.
The current-carrying capacity of the arrangement—
553 × 4 × 0.74 = 1636.9 A
(d) Method D—Trefoil groups of cable buried direct Current-carrying capacity of single 400 mm2 circuit = 593 A (Table 7, Column 22).
From the derating factors of Table 25(1) for groups of single-core cables buried direct, it can be shown that three trefoil groups of single-core cables, each group representing a circuit of 400 mm2 conductors and spaced apart, as illustrated, are required.
The current-carrying capacity of the arrangement is—
593 × 3 × 0.87 = 1547.7 A
A1.3 Comparison of different methods
Each of the four methods of installation described in Paragraph A1.2 provide a satisfactory solution to the circuit design problem where the number of 400 mm2 active conductors are to be kept to a minimum for a given installation method. However, in doing so the following factors that may determine the system to be selected are highlighted:
(a) Number of cables Method A leads to the largest number of cables.
(b) Number of enclosures Method C requires twelve enclosures (excluding neutral) whilst Method D requires none.
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(c) Size of enclosures The enclosures in Method C need only be sufficient to accommodate one conductor. However, the single enclosure in Method A will need to be considerably larger.
(d) Size of excavated trench Methods A, B and C require relatively small trench widths in comparison to Method D.
(e) Provision for additional load Methods A, B and C have provision for a further load increase of between 150 and 250 A. Method D would be operating at near maximum load.
The relative importance of these different factors for a particular installation will, in general, determine the cable arrangement selected.
A2 EXAMPLE 2
A2.1 Problem
If 12 loaded single-core conductors are run through a wiring enclosure what derating factor should be applied?
A2.2 Solution
The applicable derating factors could be determined from Table 22. If it is a three-phase circuit, then 12/3 is 4 groups, i.e. 4 circuits, and a derating factor of 0.65 could be applied. If the circuits are single-phase, there would be 6 circuits and therefore a derating factor of 0.57 could be applied.
Applying these derating factors for, say, V-75 insulated 4 mm2 conductors, from Table 7 a three-phase current-carrying capacity is 28 A while the single-phase value from Table 4 is 32 A.
Using the three-phase approach, 28 × 0.65 = 18.2 A.
Using the single-phase approach, 32 × 0.57 = 18.2 A.
Note that these methods result in approximately the same answer.
A3 EXAMPLE 3
A3.1 Problem
A three-phase circuit is to supply a load of 125 A per phase. It is proposed to use two V-75 insulated and sheathed four-core cables bunched together on a surface in a confined ceiling space where the ambient air temperature is 50°C.
Determine—
(a) the minimum conductor size; and
(b) the maximum route length of the circuit if a voltage drop of 3% is permitted on the circuit;
for both aluminium and copper conductors.
A3.2 Solution
The solution is as follows:
(a) Minimum cable size:
Derating factor for bunching = 0.8 (Table 22, Column 5)
Minimum current-carrying capacity of two parallel cables—
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A 190.5 = 0.82
1x
0.8
1x 125
or 95.25 A per cable.
From Columns 5, 6 and 7 of Table 13, the minimum size of the two cables making up the circuit are—
Aluminium—50 mm2
Copper—35 mm2
(b) Maximum route length:
With the same length and disposition of the two cables throughout the circuit, balanced current flow between the parallel cables can be expected.
Assuming worst case conditions of cable operating temperature and load power factor, the simplified method of Clause 4.2 may be used to determine the maximum route length of the circuit (L), in metres, by substitution of the 62.5 A load current for each cable and 3 % (12.45 V) permissible voltage drop in the following equation:
V
VL
c
d
x I
x 1000 =
The values of Vc are obtained from Table 42 for copper and Table 45 for aluminium and result in the following maximum route lengths:
Aluminium m 146.5 = 1.36x 62.5
12.45x 1000
Copper m 179.5 = 1.11x 62.5
12.45x 1000
A4 EXAMPLE 4
A4.1 Problem
Six four-core V-75 insulated and sheathed copper cables are arranged touching in a single horizontal row on a perforated cable tray for the supply of six identical 22 kW motors which have a full-load current of 45 A per phase and are installed at distances of 40 m, 55 m, 90 m, 135 m, 180 m and 225 m from the origin of the cable tray. Determine the minimum conductor size if a voltage drop of 2.4 % (10 V) is permitted for each cable.
A4.2 Solution
The selection of conductor size in this instance must satisfy both the current-carrying capacity requirement, including the effect of the cables being grouped, and the voltage drop limitation.
The cable sizes required to satisfy the voltage drop restriction are assessed using the formula of Clause 4.2, the actual load current of 45 A, the permissible voltage drop, Vd, of 10 V and the three-phase voltage drop figures of Table 42. The results of these calculations, the current-carrying capacity given in Table 13 and its ratio to the load current, are as follows:
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Cable Length Maximum
Fc
Minimum cable
size
Maximum current-
carrying capacity
Ratio of actual load
current to max.
current-carrying
capacity of cable
m mV/A.m mm2 A
A
B
C
40
55
90
5.56
4.04
2.47
10
10
16
51
51
68
0.88
0.88
0.66
D
E
F
135
180
225
1.65
1.23
0.98
25
35
50
91
110
135
0.49
0.41
0.33
Because of voltage drop limitations, cables C to F are substantially larger than required to meet the maximum current-carrying capacity requirements. As a result the contribution of these cables to the effects of mutual heating will be small, in the case of cables E and F, almost negligible.
An examination of the derating factors for groups of multicore cables on perforated trays given in Table 24 would indicate that a factor of 0.76 (Column 9) would apply if all six cables in the group were loaded to achieve the same conductor temperature. Although these conditions do not exist for all cables in this example, the application of this factor will give a conservative but practical solution, as follows:
Minimum current-carrying capacity required of cables = A 59.2 = 0.76
1x 45
Minimum cable size = 16 mm2 (Table 13, Column 5)
As expected, only cables A and B are affected and therefore the recommended minimum cable sizes for the cables A, B, C, D, E and F will be 16 mm2, 16 mm2, 16 mm2, 25 mm2, 35 mm2 and 50 mm2 respectively.
NOTE: The actual derating factor in this situation may be closer to 0.82, the derating factor for
three cables on a tray, which allows for restricted ventilation to cables nested in the middle of
others. Alternative arrangements of the cables, e.g. spacing cables A and B, which operate at a
higher temperature, away from each other and others in the group, may also give rise to less
onerous derating factors and smaller cable sizes.
A5 EXAMPLE 5
A5.1 Problem
Five single-phase circuits of two-core flat V-75 insulated and sheathed cables are fixed to a wall. Where the continuous loading of the cables is assessed as 16, 20, 25, 32, and 40 A, determine the minimum cable sizes required where the cables are in one of the following conditions:
(a) Condition A—spaced apart in a single layer in accordance with Clause 3.5.2.2(c) and Figure 1.
(b) Condition B—spaced apart in a single layer by a distance of one cable diameter between adjacent cables.
(c) Condition C—touching in a single layer.
(d) Condition D—bunched together.
A5.2 Solution
The solution is as follows:
(a) For installation condition A to avoid derating because of grouping, Clause 3.5.2.2(c) and Figure 1 require a minimum vertical spacing between adjacent cables 6 times the diameter of the largest cable in the group. A
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(b) For condition B, the derating factor = 0.90 (Table 22, Column 8)
(c) For condition C, the derating factor = 0.73 (Table 22, Column 8)
(d) For condition D, the derating factor = 0.60 (Table 22, Column 8)
The minimum conductor sizes determined from Column 5 of Table 13 are as follows:
Load Cable size, mm2
A
Spaced 6
diameters
Spaced 1
diameter
Touching single
layer
Bunched
16
20
25
1.5
2.5
2.5
1.5
2.5
4
2.5
4
4
2.5
4
6
32
40
4
6
6
6
6
10
10
16
A6 EXAMPLE 6
A6.1 Problem
A single-phase circuit comprises two 16 mm2 copper single-core sheathed cables with V-75 insulation installed unenclosed on a wall for the supply of a 55 A resistive load.
Determine which single-phase voltage drop values will apply when the cable is operating in—
(a) an ambient air temperature of 40°C; or
(b) an ambient air temperature of 25°C
A6.2 Solution
From Table 4 it will be noted that the cable current-carrying capacity of this configuration is 72 A in an ambient air temperature of 40°C. Equation 4.4(1) may therefore be solved directly for cable operating temperature (θ0) where the ambient air temperature is 40°C but requires some correction to the rated current (IR) before application to an ambient air temperature of 25°C. Appropriate calculations are as follows:
(a) Ambient air temperature 40°C
40 75
40 =
72
55 0
2
−−θ
⎟⎠
⎞⎜⎝
⎛
θ0 = 60.4°C, say 60°C
The three-phase voltage drop for this cable configuration and operating temperature obtained from Table 41 is 2.32 mV/A.m. The single-phase value is then determined in accordance with Clause 4.3.3(a).
Single-phase voltage drop value = 1.155 × 2.32
= 2.68 mV/A.m.
(b) Ambient air temperature 25°C The correction factor for operation in a 25°C ambient air temperature is used to determine the maximum current that will give rise to the maximum operating temperature of 75°C.
Correction factor = 1.21 (from Table 27)
25 75
25 =
21.172
55 0
2
−−θ
⎟⎟⎠
⎞⎜⎜⎝
⎛
×
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θ0 = 44.9°C, say 45°C
The three-phase voltage drop for this cable configuration and operating temperature obtained from Table 41 is 2.20 mV/A.m. The single-phase value is then determined in accordance with Clause 4.3.3(a)—
Single-phase voltage drop value = 1.155 × 2.20
= 2.54 mV/A.m.
A7 EXAMPLE 7
A7.1 Problem
A three-phase circuit comprises 3 × 150 mm2 single-core copper V-75 sheathed active conductors and a 1 × 70 mm2 single-core copper V-75 sheathed neutral conductor bunched together in free air. Assuming an ambient air temperature of 40°C and the same length of 150 m for all conductors, determine the maximum voltage drop when the magnitude and phase angle of the currents in the respective active conductors are as follows:
IA = 195 /0°
IB = 300 /120°
IC = 230 /240°
A7.2 Solution
It is not necessary in this example to take into account the load power factor as the maximum voltage drop conditions are assumed where load power factor and cable power factor are equal. The voltage drop in each cable will then be equal to ILZc.
The 300 A load current in phase B is, according to Table 7, close to the maximum permissible for such an arrangement and consequently the conductor operating temperature may be assessed as 75° for the application of Table 40 corresponding to a three-phase voltage drop of 0.305 mV/A.m.
The voltage drop on phase B conductor alone is therefore—
VdB = IBLBZcB
= 300 /120° × 150 × 1000
1
3
305.0 ×
= 7.924 /120°
The current flowing in the neutral is determined from the relationship—
IA + IB + IC + IN = 0
IA + IB + IC = 195 /0° + 300 /120° + 230 /240°
= 195 + (−150 + j259.8) + (−115 − j199.2)A
= −70 + j60.6
∴ IN = 70 − j60.6
= 92.6 /−40°.9°A
The operating temperature of the neutral may then be determined in accordance with Clause 4.4 and the rated figure given in Table 7, i.e.
4075
40
185
6.92 0
2
−−θ
=⎟⎠
⎞⎜⎝
⎛
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θ0 = 49°C, say 60°C allowing for contact with conductors operating at higher temperatures.
From Table 40 and a conductor temperature of 60°C the three-phase voltage drop is given as 0.563 mV/A.m.
The voltage drop on the neutral conductor alone is therefore—
VdN = INLNZcN
= 92. 6 /−40.9°V × 150 × 1000
1
3
0.563 ×
= 4.515 /−40.9°V
The maximum single-phase voltage drop is therefore—
Vd = VdB − VdN = 7.924 /120° − 4.515 /−40.9°
= −3.962 + j7.862 − 3.413 + j2.956
= −7.375 + j9.818
= 12.28 /120.9 V
A8 EXAMPLE 8
A8.1 Problem
Select the minimum size conductor based on thermal consideration, for a copper cable with compression joints connected to a supply where protection is provided by an air circuit-breaker with a clearance time of 1 s and a breaking capacity of 10 kA.
Calculate the minimum conductor size for the following two types of cable:
(a) PVC insulated.
(b) XLPE insulated.
A8.2 Solution
The solution is as follows:
(a) PVC insulated
(i) To find the value of constant (K) the initial conductor temperature and the final conductor temperature must be known.
For PVC it is assumed that the initial operating temperature is 75°C (for V-75, V-90 and V-90HT). From Table 53, and assuming that the cable is smaller than 300 mm2, the final operating temperature can be selected as 160°C. From Table 52 the value of K can be selected as 111 for a copper conductor.
(ii) As the circuit-breaker protecting the circuit is rated at 10 kA breaking capacity, we can assume a value of 10 000 A for I.
(iii) As the clearance time of the circuit-breaker is 1 s, it can be assumed that the value of t, which is the total time the fault current is flowing, is also 1 s.
(iv) Rearranging Equation 5.3(1) we get—
S = ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛2
2
K
tI
Substituting the values for I, t and K, the minimum cross-section area is calculated as—
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S = ⎥⎥⎦
⎤
⎢⎢⎣
⎡ ×2
2
)111(
1)00010(
= 90.1mm2
Therefore, the minimum cable size would be 95 mm2.
(b) XLPE insulation
Using the same process as in Item (a) the following steps are taken:
(i) Initial operating temperature for X-90 insulation (assumed maximum) ....... 90°C
Final operating temperature from X-90 insulation (from Table 53) ........... 250°C
Value of constant (K) from Table 52 .............................................................143
(ii) Value of short-circuit current (I) .......................................................... 10 000 A
(iii) Value of time (t) is ......................................................................................... 1 s
S = ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛2
2
K
tI
2 = ⎥⎦
⎤⎢⎣
⎡ ×2
2
)143(
1)00010(
= 69.9 mm2
Therefore, the minimum cable size would be 70 mm2.
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APPENDIX B
LIST OF TABLES
(Informative)
Table Title Page
1 Limiting temperatures for insulated cables 14
2 Reduction factors for harmonic currents in 4- and 5-core cables 27
3(1) Schedule of installation methods for cables deemed to have the same current-carrying capacity and
cross-references to applicable derating tables—Unenclosed in air
28
3(2) Schedule of installation methods for cables deemed to have the same current-carrying capacity and
cross-references to applicable derating tables—Enclosed
30
3(3) Schedule of installation methods for cables deemed to have the same current-carrying capacity and
cross-references to applicable derating tables—Buried direct in the ground
32
3(4) Schedule of installation methods for cables deemed to have the same current-carrying capacity and
cross-references to applicable derating tables—Underground wiring enclosures
33
4 Current-carrying capacities
Cable type: Two single-core
Insulation type: Thermoplastic
34
5 Current-carrying capacities
Cable type: Two single-core
Insulation types: X-90, X-HF-90, R-EP-90, R-CPE-90 or R-CSP-90
37
6 Current-carrying capacities
Cable type: Two single-core
Insulation types: R-HF-110, R-E-110 or X-HF-110
40
7 Current-carrying capacities
Cable type: Three single-core
Insulation type: Thermoplastic
42
8 Current-carrying capacities
Cable type: Three single-core
Insulation types: X-90, X-HF-90, R-EP-90, R-CPE-90 or R-CSP-90
45
9 Current-carrying capacities
Cable type: Three single-core
Insulation types: R-HF-110, R-E-110 or X-HF-110
48
10 Current-carrying capacities
Cable type: Two-core sheathed
Insulation type: Thermoplastic
50
11 Current-carrying capacities
Cable type: Two-core sheathed
Insulation types: X-90, X-HF-90, R-EP-90, R-CPE-90 or R-CSP-90
53
12 Current-carrying capacities
Cable type: Two-core sheathed
Insulation types: R-HF-110, R-E-110 or X-HF-110
56
13 Current-carrying capacities
Cable types: Three-core and four-core
Insulation type: Thermoplastic
58
14 Current-carrying capacities
Cable types: Three-core and four-core
Insulation types: X-90, X-HF-90, R-EP-90, R-CPE-90 or R-CSP-90
61
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Table Title Page
15 Current-carrying capacities
Cable types: Three-core and four-core sheathed
Insulation types: R-HF-110, R-E-110 or X-HF-110
64
16 Current-carrying capacities
Cable type: Flexible cords
Insulation types: Thermoplastic or cross-linked
66
17 Current-carrying capacities
Cable types: Cables and flexible cords
Insulation types: R-S-150, Type 150 fibrous or 150°C rated fluoropolymer
67
18 Current-carrying capacities
Cable type: Bare single-core MIMS cables with copper conductors
68
19 Current-carrying capacities
Cable type: Bare multicore MIMS cables with copper conductors
69
20 Current-carrying capacities
Cable types: Aerial cables with copper conductors
70
21 Current-carrying capacities
Cable types: Aerial cables with aluminium conductors
72
22 Derating factors for bunched circuits
Cable types: Single-core and multicore
Installation conditions: In air or in wiring enclosures
74
23 Derating factors for circuits
Cable type: Single-core
Installation conditions: In trays, racks, cleats or other supports in air
75
24 Derating factors for circuits
Cable type: Multicore
Installation conditions: In trays, racks, cleats or other supports in air
77
25(1) Derating factors for groups of circuits
Cable type: Single-core
Installation conditions: Buried direct in ground
79
25(2) Derating factors for groups of circuits
Cable type: Multicore
Installation conditions: Buried direct in ground
80
26(1) Derating factors for groups of circuits
Cable type: Single-core
Installation conditions: In underground wiring enclosures—Enclosed separately
81
26(2) Derating factors for groups of circuits
Cable types: Single-core or multicore
Installation conditions: In underground wiring enclosures—Multicore cables enclosed separately or
more than one single-core cable per wiring enclosure
82
27(1) Rating factors
Variance: Air and concrete slab ambient temperatures
Installation conditions: Cables in air or heated concrete slabs
83
27(2) Rating factors
Variance: Soil ambient temperatures
Installation conditions: Cables buried direct in ground or in underground wiring enclosures
83
28(1) Rating factors
Cable types: Single-core or multicore
Variance: Depth of laying
Installation conditions: Buried direct in ground
84
28(2) Rating factors
Cable types: Single-core or multicore
Variance: Depth of laying
Installation conditions: In underground wiring enclosures
84
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Table Title Page
29 Rating factors
Variance: Thermal resistivity of the soil (from 1.2°C.m/W)
Installation conditions: Buried direct in ground and in underground wiring enclosures
85
30 Reactance at 50 Hz
Cable type: All cables excluding flexible cords, flexible cables, MIMS cables and aerial cables
92
31 Reactance at 50 Hz
Cable types: Flexible cords and flexible cables
93
32 Reactance at 50 Hz
Cable type: MIMS
94
33 Reactance at 50 Hz
Cable type: Single-core aerial with bare or insulated conductors
95
34 a.c. resistance at 50 Hz
Cable type: Single-core
96
35 a.c. resistance at 50 Hz
Cable type: Multicore with circular conductors
97
36 a.c. resistance at 50 Hz
Cable type: Multicore with shaped conductors
97
37 a.c. resistance at 50 Hz
Cable types: Flexible cords and flexible cables with copper conductors
98
38 a.c. resistance at 50 Hz
Cable type: MIMS
99
39 a.c. resistance at 50 Hz
Cable type: Single-core aerial with bare or insulated conductors
100
40 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core insulated and sheathed copper conductors laid in trefoil
101
41 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core insulated and sheathed copper conductors, laid flat touching or in a wiring
enclosure
102
42 Three-phase voltage drop (Vc) at 50 Hz
Cable type: Multicore with circular copper conductors
103
43 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core insulated and sheathed aluminium conductors, laid in trefoil
104
44 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core insulated and sheathed aluminium conductors, laid flat touching
105
45 Three-phase voltage drop (Vc) at 50 Hz
Cable type: Multicore cables with circular aluminium conductors
106
46 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core flexible cords and flexible cables, laid in trefoil
107
47 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core flexible cords and flexible cables, laid flat touching or in a wiring enclosure
112
48 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Multicore flexible cords and flexible cables
109
49 Three-phase voltage drop (Vc) at 50 Hz
Cable types: Single-core and multicore MIMS, laid in trefoil
110
50 Three-phase voltage drop (Vc) at 50 Hz
Cable type: Aerial with bare or insulated copper conductors
111
51 Three-phase voltage drop (Vc) at 50 Hz
Cable type: Aerial with bare or insulated aluminium conductors
112
52 Values of constant K for determination of permissible short-circuit currents 114
53 Temperature limits for insulating materials in contact with conductors 115
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Table Title Page
54 Temperature limits for outer sheath and bedding materials 116
55 Temperature limits for conductor and metallic sheath materials and components 116
D1 Load current sharing and low magnetic field configurations 131
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APPENDIX C
EXAMPLES OF THE APPLICATION OF REDUCTION FACTORS FOR
HARMONIC CURRENTS
(Informative)
Consider a three-phase circuit with a design load of 35 A to be installed using four-core PVC insulated cable clipped to a wall.
From Table 13, a 6 mm2 cable with copper conductors has a current-carrying capacity of 37 A and hence is suitable if harmonics are not present in the circuit.
If 20% third harmonic is present then a reduction factor of 0.86 is applied and the design load becomes:
A410.86
35 =
For this load a 10 mm2 cable is suitable.
If 44% third harmonic is present the cable size selection is based on the neutral current which is:
A46.230.4435 =××
and a reduction factor of 0.86 is applied, leading to a design load of:
A53.70.86
46.2 =
For this load, a 16 mm2 cable is suitable.
If 50% third harmonic is present the cable size is again selected on the basis of the neutral current, which is:
A52.530.535 =××
In this case, the reduction factor is 1 and a 16 mm2 cable is suitable.
All the above cable selections are based on the current-carrying capacity of the cable only. Voltage drop and other aspects of design have not been considered.
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APPENDIX D
RECOMMENDED CIRCUIT CONFIGURATIONS FOR THE INSTALLATION OF
SINGLE-CORE CABLES IN PARALLEL
(Informative)
TABLE D1
LOAD CURRENT SHARING CONFIGURATION
Mode Two-phase Three-phase
Two
conductors
per phase
Three
conductors
per phase
Not recommended
Four
conductors
per phase
NOTES:
1 Neutral conductors are to be located so as to not disturb the symmetry of the groups as illustrated.
2 Non-symmetrical configuration may cause unequal distribution of current between conductors.
Provision should be made to maintain the recommended configurations to avoid these problems.
A1
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AMENDMENT CONTROL SHEET
AS/NZS 3008.1.1:2009
Amendment No. 1 (2011)
CORRECTION
SUMMARY: This Amendment applies to Clauses 3.3.2 and 4.4, Tables 3(1), 6, 7, 8, 9, 10, 12, 13, 15, 16 and
34, and Appendices A and D.
Published on 15 August 2011.
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International Involvement
Standards Australia and Standards New Zealand are responsible for ensuring that the Australian
and New Zealand viewpoints are considered in the formulation of international Standards and that
the latest international experience is incorporated in national and Joint Standards. This role is vital
in assisting local industry to compete in international markets. Both organizations are the national
members of ISO (the International Organization for Standardization) and IEC (the International